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Finding the Fourth Proportional to 1,984,511.40, 2,978,516.70 and 1,701,076.20

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Solution

The fourth proportional to 1,984,511.40, 2,978,516.70 and 1,701,076.20 is: 2,553,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,984,511.40 : 2,978,516.70 = 1,701,076.20 : x
  2. Step 2: Convert to fraction form
    1,984,511.40/2,978,516.70 = 1,701,076.20/x
  3. Step 3: Cross multiply
    1,984,511.40x = 2,978,516.70 × 1,701,076.20
  4. Step 4: Simplify right side
    1,984,511.40x = 5,066,683,869,672.54
  5. Step 5: Solve for x
    x = 5,066,683,869,672.54/1,984,511.40
  6. Step 6: Final answer
    x = 2,553,114.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.