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Finding the Fourth Proportional to 1,428.18, 2,139.54 and 812.31

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Solution

The fourth proportional to 1,428.18, 2,139.54 and 812.31 is: 1,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.18 : 2,139.54 = 812.31 : x
  2. Step 2: Convert to fraction form
    1,428.18/2,139.54 = 812.31/x
  3. Step 3: Cross multiply
    1,428.18x = 2,139.54 × 812.31
  4. Step 4: Simplify right side
    1,428.18x = 1,737,969.74
  5. Step 5: Solve for x
    x = 1,737,969.74/1,428.18
  6. Step 6: Final answer
    x = 1,216.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.