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Finding the Fourth Proportional to 1,575.73, 2,363.13 and 1,030.78

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Solution

The fourth proportional to 1,575.73, 2,363.13 and 1,030.78 is: 1,545.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575.73 : 2,363.13 = 1,030.78 : x
  2. Step 2: Convert to fraction form
    1,575.73/2,363.13 = 1,030.78/x
  3. Step 3: Cross multiply
    1,575.73x = 2,363.13 × 1,030.78
  4. Step 4: Simplify right side
    1,575.73x = 2,435,867.14
  5. Step 5: Solve for x
    x = 2,435,867.14/1,575.73
  6. Step 6: Final answer
    x = 1,545.87

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1.5x scale

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.