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Finding the Fourth Proportional to 1,732.72, 2,389.35 and 1,142.50

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Solution

The fourth proportional to 1,732.72, 2,389.35 and 1,142.50 is: 1,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.72 : 2,389.35 = 1,142.50 : x
  2. Step 2: Convert to fraction form
    1,732.72/2,389.35 = 1,142.50/x
  3. Step 3: Cross multiply
    1,732.72x = 2,389.35 × 1,142.50
  4. Step 4: Simplify right side
    1,732.72x = 2,729,832.38
  5. Step 5: Solve for x
    x = 2,729,832.38/1,732.72
  6. Step 6: Final answer
    x = 1,575.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.