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Finding the Fourth Proportional to 2,429.71, 3,643.63 and 869.42

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Solution

The fourth proportional to 2,429.71, 3,643.63 and 869.42 is: 1,303.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.71 : 3,643.63 = 869.42 : x
  2. Step 2: Convert to fraction form
    2,429.71/3,643.63 = 869.42/x
  3. Step 3: Cross multiply
    2,429.71x = 3,643.63 × 869.42
  4. Step 4: Simplify right side
    2,429.71x = 3,167,844.79
  5. Step 5: Solve for x
    x = 3,167,844.79/2,429.71
  6. Step 6: Final answer
    x = 1,303.80

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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.