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Finding the Fourth Proportional to 1,502.82, 2,073.96 and 912.78

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Solution

The fourth proportional to 1,502.82, 2,073.96 and 912.78 is: 1,259.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.82 : 2,073.96 = 912.78 : x
  2. Step 2: Convert to fraction form
    1,502.82/2,073.96 = 912.78/x
  3. Step 3: Cross multiply
    1,502.82x = 2,073.96 × 912.78
  4. Step 4: Simplify right side
    1,502.82x = 1,893,069.21
  5. Step 5: Solve for x
    x = 1,893,069.21/1,502.82
  6. Step 6: Final answer
    x = 1,259.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.