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Finding the Fourth Proportional to 2,384.80, 3,575.96 and 924.38

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Solution

The fourth proportional to 2,384.80, 3,575.96 and 924.38 is: 1,386.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,384.80 : 3,575.96 = 924.38 : x
  2. Step 2: Convert to fraction form
    2,384.80/3,575.96 = 924.38/x
  3. Step 3: Cross multiply
    2,384.80x = 3,575.96 × 924.38
  4. Step 4: Simplify right side
    2,384.80x = 3,305,545.90
  5. Step 5: Solve for x
    x = 3,305,545.90/2,384.80
  6. Step 6: Final answer
    x = 1,386.09

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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.