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Finding the Fourth Proportional to 2,416.59, 3,624.92 and 1,030.16

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Solution

The fourth proportional to 2,416.59, 3,624.92 and 1,030.16 is: 1,545.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.59 : 3,624.92 = 1,030.16 : x
  2. Step 2: Convert to fraction form
    2,416.59/3,624.92 = 1,030.16/x
  3. Step 3: Cross multiply
    2,416.59x = 3,624.92 × 1,030.16
  4. Step 4: Simplify right side
    2,416.59x = 3,734,224.31
  5. Step 5: Solve for x
    x = 3,734,224.31/2,416.59
  6. Step 6: Final answer
    x = 1,545.25

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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.