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Finding the Fourth Proportional to 2,362.62, 3,545.40 and 901.92

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Solution

The fourth proportional to 2,362.62, 3,545.40 and 901.92 is: 1,353.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362.62 : 3,545.40 = 901.92 : x
  2. Step 2: Convert to fraction form
    2,362.62/3,545.40 = 901.92/x
  3. Step 3: Cross multiply
    2,362.62x = 3,545.40 × 901.92
  4. Step 4: Simplify right side
    2,362.62x = 3,197,667.17
  5. Step 5: Solve for x
    x = 3,197,667.17/2,362.62
  6. Step 6: Final answer
    x = 1,353.44

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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.