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Finding the Fourth Proportional to 2,429.53, 3,646.12 and 1,726.66

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Solution

The fourth proportional to 2,429.53, 3,646.12 and 1,726.66 is: 2,591.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,429.53 : 3,646.12 = 1,726.66 : x
  2. Step 2: Convert to fraction form
    2,429.53/3,646.12 = 1,726.66/x
  3. Step 3: Cross multiply
    2,429.53x = 3,646.12 × 1,726.66
  4. Step 4: Simplify right side
    2,429.53x = 6,295,597.38
  5. Step 5: Solve for x
    x = 6,295,597.38/2,429.53
  6. Step 6: Final answer
    x = 2,591.28

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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.