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Finding the Fourth Proportional to 2,706.02, 4,059.03 and 654.02

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Solution

The fourth proportional to 2,706.02, 4,059.03 and 654.02 is: 981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,706.02 : 4,059.03 = 654.02 : x
  2. Step 2: Convert to fraction form
    2,706.02/4,059.03 = 654.02/x
  3. Step 3: Cross multiply
    2,706.02x = 4,059.03 × 654.02
  4. Step 4: Simplify right side
    2,706.02x = 2,654,699.40
  5. Step 5: Solve for x
    x = 2,654,699.40/2,706.02
  6. Step 6: Final answer
    x = 981.03

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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.