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Finding the Fourth Proportional to 2,332.87, 3,497.64 and 1,099.63

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Solution

The fourth proportional to 2,332.87, 3,497.64 and 1,099.63 is: 1,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,332.87 : 3,497.64 = 1,099.63 : x
  2. Step 2: Convert to fraction form
    2,332.87/3,497.64 = 1,099.63/x
  3. Step 3: Cross multiply
    2,332.87x = 3,497.64 × 1,099.63
  4. Step 4: Simplify right side
    2,332.87x = 3,846,109.87
  5. Step 5: Solve for x
    x = 3,846,109.87/2,332.87
  6. Step 6: Final answer
    x = 1,648.66

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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.