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Finding the Fourth Proportional to 2,537.17, 3,502.81 and 1,593.77

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Solution

The fourth proportional to 2,537.17, 3,502.81 and 1,593.77 is: 2,200.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,537.17 : 3,502.81 = 1,593.77 : x
  2. Step 2: Convert to fraction form
    2,537.17/3,502.81 = 1,593.77/x
  3. Step 3: Cross multiply
    2,537.17x = 3,502.81 × 1,593.77
  4. Step 4: Simplify right side
    2,537.17x = 5,582,663.34
  5. Step 5: Solve for x
    x = 5,582,663.34/2,537.17
  6. Step 6: Final answer
    x = 2,200.35

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