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Finding the Fourth Proportional to 2,429.64, 3,643.42 and 870.05

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Solution

The fourth proportional to 2,429.64, 3,643.42 and 870.05 is: 1,304.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.64 : 3,643.42 = 870.05 : x
  2. Step 2: Convert to fraction form
    2,429.64/3,643.42 = 870.05/x
  3. Step 3: Cross multiply
    2,429.64x = 3,643.42 × 870.05
  4. Step 4: Simplify right side
    2,429.64x = 3,169,957.57
  5. Step 5: Solve for x
    x = 3,169,957.57/2,429.64
  6. Step 6: Final answer
    x = 1,304.70

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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.