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Finding the Fourth Proportional to 2,545.89, 3,818.52 and 697.16

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Solution

The fourth proportional to 2,545.89, 3,818.52 and 697.16 is: 1,045.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.89 : 3,818.52 = 697.16 : x
  2. Step 2: Convert to fraction form
    2,545.89/3,818.52 = 697.16/x
  3. Step 3: Cross multiply
    2,545.89x = 3,818.52 × 697.16
  4. Step 4: Simplify right side
    2,545.89x = 2,662,119.40
  5. Step 5: Solve for x
    x = 2,662,119.40/2,545.89
  6. Step 6: Final answer
    x = 1,045.65

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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.