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Finding the Fourth Proportional to 2,545.92, 3,818.88 and 2,036.16

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Solution

The fourth proportional to 2,545.92, 3,818.88 and 2,036.16 is: 3,054.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.92 : 3,818.88 = 2,036.16 : x
  2. Step 2: Convert to fraction form
    2,545.92/3,818.88 = 2,036.16/x
  3. Step 3: Cross multiply
    2,545.92x = 3,818.88 × 2,036.16
  4. Step 4: Simplify right side
    2,545.92x = 7,775,850.70
  5. Step 5: Solve for x
    x = 7,775,850.70/2,545.92
  6. Step 6: Final answer
    x = 3,054.24

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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.