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Finding the Fourth Proportional to 2,285.52, 3,428.24 and 554.16

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Solution

The fourth proportional to 2,285.52, 3,428.24 and 554.16 is: 831.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.52 : 3,428.24 = 554.16 : x
  2. Step 2: Convert to fraction form
    2,285.52/3,428.24 = 554.16/x
  3. Step 3: Cross multiply
    2,285.52x = 3,428.24 × 554.16
  4. Step 4: Simplify right side
    2,285.52x = 1,899,776.34
  5. Step 5: Solve for x
    x = 1,899,776.34/2,285.52
  6. Step 6: Final answer
    x = 831.22

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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.