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Finding the Fourth Proportional to 2,416.93, 3,626.77 and 1,030.13

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Solution

The fourth proportional to 2,416.93, 3,626.77 and 1,030.13 is: 1,545.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.93 : 3,626.77 = 1,030.13 : x
  2. Step 2: Convert to fraction form
    2,416.93/3,626.77 = 1,030.13/x
  3. Step 3: Cross multiply
    2,416.93x = 3,626.77 × 1,030.13
  4. Step 4: Simplify right side
    2,416.93x = 3,736,044.58
  5. Step 5: Solve for x
    x = 3,736,044.58/2,416.93
  6. Step 6: Final answer
    x = 1,545.78

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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.