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Finding the Fourth Proportional to 2,363.55, 3,545.90 and 1,065.02

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Solution

The fourth proportional to 2,363.55, 3,545.90 and 1,065.02 is: 1,597.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.55 : 3,545.90 = 1,065.02 : x
  2. Step 2: Convert to fraction form
    2,363.55/3,545.90 = 1,065.02/x
  3. Step 3: Cross multiply
    2,363.55x = 3,545.90 × 1,065.02
  4. Step 4: Simplify right side
    2,363.55x = 3,776,468.27
  5. Step 5: Solve for x
    x = 3,776,468.27/2,363.55
  6. Step 6: Final answer
    x = 1,597.79

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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.