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Finding the Fourth Proportional to 2,545.54, 3,810.63 and 2,302.18

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Solution

The fourth proportional to 2,545.54, 3,810.63 and 2,302.18 is: 3,446.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.54 : 3,810.63 = 2,302.18 : x
  2. Step 2: Convert to fraction form
    2,545.54/3,810.63 = 2,302.18/x
  3. Step 3: Cross multiply
    2,545.54x = 3,810.63 × 2,302.18
  4. Step 4: Simplify right side
    2,545.54x = 8,772,756.17
  5. Step 5: Solve for x
    x = 8,772,756.17/2,545.54
  6. Step 6: Final answer
    x = 3,446.32

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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.