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Finding the Fourth Proportional to 1,542.06, 2,127.78 and 912.54

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Solution

The fourth proportional to 1,542.06, 2,127.78 and 912.54 is: 1,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.06 : 2,127.78 = 912.54 : x
  2. Step 2: Convert to fraction form
    1,542.06/2,127.78 = 912.54/x
  3. Step 3: Cross multiply
    1,542.06x = 2,127.78 × 912.54
  4. Step 4: Simplify right side
    1,542.06x = 1,941,684.36
  5. Step 5: Solve for x
    x = 1,941,684.36/1,542.06
  6. Step 6: Final answer
    x = 1,259.15

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