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Finding the Fourth Proportional to 2,545.12, 3,815.40 and 901.45

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Solution

The fourth proportional to 2,545.12, 3,815.40 and 901.45 is: 1,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,545.12 : 3,815.40 = 901.45 : x
  2. Step 2: Convert to fraction form
    2,545.12/3,815.40 = 901.45/x
  3. Step 3: Cross multiply
    2,545.12x = 3,815.40 × 901.45
  4. Step 4: Simplify right side
    2,545.12x = 3,439,411.21
  5. Step 5: Solve for x
    x = 3,439,411.21/2,545.12
  6. Step 6: Final answer
    x = 1,351.37

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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.