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Finding the Fourth Proportional to 1,542.32, 2,128.61 and 912.80

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Solution

The fourth proportional to 1,542.32, 2,128.61 and 912.80 is: 1,259.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.32 : 2,128.61 = 912.80 : x
  2. Step 2: Convert to fraction form
    1,542.32/2,128.61 = 912.80/x
  3. Step 3: Cross multiply
    1,542.32x = 2,128.61 × 912.80
  4. Step 4: Simplify right side
    1,542.32x = 1,942,980.00
  5. Step 5: Solve for x
    x = 1,942,980.00/1,542.32
  6. Step 6: Final answer
    x = 1,259.78

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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.