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Finding the Fourth Proportional to 2,329.32, 3,491.64 and 1,029.72

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Solution

The fourth proportional to 2,329.32, 3,491.64 and 1,029.72 is: 1,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,329.32 : 3,491.64 = 1,029.72 : x
  2. Step 2: Convert to fraction form
    2,329.32/3,491.64 = 1,029.72/x
  3. Step 3: Cross multiply
    2,329.32x = 3,491.64 × 1,029.72
  4. Step 4: Simplify right side
    2,329.32x = 3,595,411.54
  5. Step 5: Solve for x
    x = 3,595,411.54/2,329.32
  6. Step 6: Final answer
    x = 1,543.55

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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.