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Finding the Fourth Proportional to 2,429.76, 3,646.08 and 969.60

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Solution

The fourth proportional to 2,429.76, 3,646.08 and 969.60 is: 1,454.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.76 : 3,646.08 = 969.60 : x
  2. Step 2: Convert to fraction form
    2,429.76/3,646.08 = 969.60/x
  3. Step 3: Cross multiply
    2,429.76x = 3,646.08 × 969.60
  4. Step 4: Simplify right side
    2,429.76x = 3,535,239.17
  5. Step 5: Solve for x
    x = 3,535,239.17/2,429.76
  6. Step 6: Final answer
    x = 1,454.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.