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Finding the Fourth Proportional to 2,269.44, 3,130.92 and 1,429.92

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Solution

The fourth proportional to 2,269.44, 3,130.92 and 1,429.92 is: 1,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,269.44 : 3,130.92 = 1,429.92 : x
  2. Step 2: Convert to fraction form
    2,269.44/3,130.92 = 1,429.92/x
  3. Step 3: Cross multiply
    2,269.44x = 3,130.92 × 1,429.92
  4. Step 4: Simplify right side
    2,269.44x = 4,476,965.13
  5. Step 5: Solve for x
    x = 4,476,965.13/2,269.44
  6. Step 6: Final answer
    x = 1,972.72

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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.