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Finding the Fourth Proportional to 2,363.52, 3,545.25 and 1,064.07

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Solution

The fourth proportional to 2,363.52, 3,545.25 and 1,064.07 is: 1,596.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,363.52 : 3,545.25 = 1,064.07 : x
  2. Step 2: Convert to fraction form
    2,363.52/3,545.25 = 1,064.07/x
  3. Step 3: Cross multiply
    2,363.52x = 3,545.25 × 1,064.07
  4. Step 4: Simplify right side
    2,363.52x = 3,772,394.17
  5. Step 5: Solve for x
    x = 3,772,394.17/2,363.52
  6. Step 6: Final answer
    x = 1,596.09

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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.