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Finding the Fourth Proportional to 1,576, 2,364.56 and 1,142.40

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Solution

The fourth proportional to 1,576, 2,364.56 and 1,142.40 is: 1,714.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,576 : 2,364.56 = 1,142.40 : x
  2. Step 2: Convert to fraction form
    1,576/2,364.56 = 1,142.40/x
  3. Step 3: Cross multiply
    1,576x = 2,364.56 × 1,142.40
  4. Step 4: Simplify right side
    1,576x = 2,701,273.34
  5. Step 5: Solve for x
    x = 2,701,273.34/1,576
  6. Step 6: Final answer
    x = 1,714.01

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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.