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Finding the Fourth Proportional to 1,429.52, 2,139.16 and 844.84

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Solution

The fourth proportional to 1,429.52, 2,139.16 and 844.84 is: 1,264.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.52 : 2,139.16 = 844.84 : x
  2. Step 2: Convert to fraction form
    1,429.52/2,139.16 = 844.84/x
  3. Step 3: Cross multiply
    1,429.52x = 2,139.16 × 844.84
  4. Step 4: Simplify right side
    1,429.52x = 1,807,253.09
  5. Step 5: Solve for x
    x = 1,807,253.09/1,429.52
  6. Step 6: Final answer
    x = 1,264.23

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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.