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Finding the Fourth Proportional to 2,329.19, 3,489.18 and 1,155.63

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Solution

The fourth proportional to 2,329.19, 3,489.18 and 1,155.63 is: 1,731.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.19 : 3,489.18 = 1,155.63 : x
  2. Step 2: Convert to fraction form
    2,329.19/3,489.18 = 1,155.63/x
  3. Step 3: Cross multiply
    2,329.19x = 3,489.18 × 1,155.63
  4. Step 4: Simplify right side
    2,329.19x = 4,032,209.83
  5. Step 5: Solve for x
    x = 4,032,209.83/2,329.19
  6. Step 6: Final answer
    x = 1,731.16

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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.