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Finding the Fourth Proportional to 1,875.43, 2,813.14 and 488.87

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Solution

The fourth proportional to 1,875.43, 2,813.14 and 488.87 is: 733.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.43 : 2,813.14 = 488.87 : x
  2. Step 2: Convert to fraction form
    1,875.43/2,813.14 = 488.87/x
  3. Step 3: Cross multiply
    1,875.43x = 2,813.14 × 488.87
  4. Step 4: Simplify right side
    1,875.43x = 1,375,251.60
  5. Step 5: Solve for x
    x = 1,375,251.60/1,875.43
  6. Step 6: Final answer
    x = 733.30

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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.