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Finding the Fourth Proportional to 2,429.96, 3,646.70 and 969.53

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Solution

The fourth proportional to 2,429.96, 3,646.70 and 969.53 is: 1,454.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.96 : 3,646.70 = 969.53 : x
  2. Step 2: Convert to fraction form
    2,429.96/3,646.70 = 969.53/x
  3. Step 3: Cross multiply
    2,429.96x = 3,646.70 × 969.53
  4. Step 4: Simplify right side
    2,429.96x = 3,535,569.24
  5. Step 5: Solve for x
    x = 3,535,569.24/2,429.96
  6. Step 6: Final answer
    x = 1,454.99

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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.