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Finding the Fourth Proportional to 2,314.65, 3,192.90 and 1,429.83

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Solution

The fourth proportional to 2,314.65, 3,192.90 and 1,429.83 is: 1,972.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,314.65 : 3,192.90 = 1,429.83 : x
  2. Step 2: Convert to fraction form
    2,314.65/3,192.90 = 1,429.83/x
  3. Step 3: Cross multiply
    2,314.65x = 3,192.90 × 1,429.83
  4. Step 4: Simplify right side
    2,314.65x = 4,565,304.21
  5. Step 5: Solve for x
    x = 4,565,304.21/2,314.65
  6. Step 6: Final answer
    x = 1,972.35

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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.