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Finding the Fourth Proportional to 2,429.60, 3,643.02 and 869.52

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Solution

The fourth proportional to 2,429.60, 3,643.02 and 869.52 is: 1,303.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.60 : 3,643.02 = 869.52 : x
  2. Step 2: Convert to fraction form
    2,429.60/3,643.02 = 869.52/x
  3. Step 3: Cross multiply
    2,429.60x = 3,643.02 × 869.52
  4. Step 4: Simplify right side
    2,429.60x = 3,167,678.75
  5. Step 5: Solve for x
    x = 3,167,678.75/2,429.60
  6. Step 6: Final answer
    x = 1,303.79

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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.