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Finding the Fourth Proportional to 1,072.91, 1,615.61 and 937.58

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Solution

The fourth proportional to 1,072.91, 1,615.61 and 937.58 is: 1,411.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,072.91 : 1,615.61 = 937.58 : x
  2. Step 2: Convert to fraction form
    1,072.91/1,615.61 = 937.58/x
  3. Step 3: Cross multiply
    1,072.91x = 1,615.61 × 937.58
  4. Step 4: Simplify right side
    1,072.91x = 1,514,757.89
  5. Step 5: Solve for x
    x = 1,514,757.89/1,072.91
  6. Step 6: Final answer
    x = 1,411.82

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.