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Finding the Fourth Proportional to 1,545.47, 2,318.24 and 852.01

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Solution

The fourth proportional to 1,545.47, 2,318.24 and 852.01 is: 1,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,545.47 : 2,318.24 = 852.01 : x
  2. Step 2: Convert to fraction form
    1,545.47/2,318.24 = 852.01/x
  3. Step 3: Cross multiply
    1,545.47x = 2,318.24 × 852.01
  4. Step 4: Simplify right side
    1,545.47x = 1,975,165.20
  5. Step 5: Solve for x
    x = 1,975,165.20/1,545.47
  6. Step 6: Final answer
    x = 1,278.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.