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Finding the Fourth Proportional to 3,140.46, 4,332 and 1,959.48

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Solution

The fourth proportional to 3,140.46, 4,332 and 1,959.48 is: 2,702.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.46 : 4,332 = 1,959.48 : x
  2. Step 2: Convert to fraction form
    3,140.46/4,332 = 1,959.48/x
  3. Step 3: Cross multiply
    3,140.46x = 4,332 × 1,959.48
  4. Step 4: Simplify right side
    3,140.46x = 8,488,467.36
  5. Step 5: Solve for x
    x = 8,488,467.36/3,140.46
  6. Step 6: Final answer
    x = 2,702.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.