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Finding the Fourth Proportional to 1,342, 2,013.81 and 572.50

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Solution

The fourth proportional to 1,342, 2,013.81 and 572.50 is: 859.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342 : 2,013.81 = 572.50 : x
  2. Step 2: Convert to fraction form
    1,342/2,013.81 = 572.50/x
  3. Step 3: Cross multiply
    1,342x = 2,013.81 × 572.50
  4. Step 4: Simplify right side
    1,342x = 1,152,906.23
  5. Step 5: Solve for x
    x = 1,152,906.23/1,342
  6. Step 6: Final answer
    x = 859.10

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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.