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Finding the Fourth Proportional to 2,154.74, 3,232.42 and 1,059.17

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Solution

The fourth proportional to 2,154.74, 3,232.42 and 1,059.17 is: 1,588.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,154.74 : 3,232.42 = 1,059.17 : x
  2. Step 2: Convert to fraction form
    2,154.74/3,232.42 = 1,059.17/x
  3. Step 3: Cross multiply
    2,154.74x = 3,232.42 × 1,059.17
  4. Step 4: Simplify right side
    2,154.74x = 3,423,663.48
  5. Step 5: Solve for x
    x = 3,423,663.48/2,154.74
  6. Step 6: Final answer
    x = 1,588.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.