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Finding the Fourth Proportional to 1,637.46, 2,259.82 and 938.88

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Solution

The fourth proportional to 1,637.46, 2,259.82 and 938.88 is: 1,295.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,637.46 : 2,259.82 = 938.88 : x
  2. Step 2: Convert to fraction form
    1,637.46/2,259.82 = 938.88/x
  3. Step 3: Cross multiply
    1,637.46x = 2,259.82 × 938.88
  4. Step 4: Simplify right side
    1,637.46x = 2,121,699.80
  5. Step 5: Solve for x
    x = 2,121,699.80/1,637.46
  6. Step 6: Final answer
    x = 1,295.73

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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.