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Finding the Fourth Proportional to 1,321.47, 1,821.51 and 1,295.55

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Solution

The fourth proportional to 1,321.47, 1,821.51 and 1,295.55 is: 1,785.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,321.47 : 1,821.51 = 1,295.55 : x
  2. Step 2: Convert to fraction form
    1,321.47/1,821.51 = 1,295.55/x
  3. Step 3: Cross multiply
    1,321.47x = 1,821.51 × 1,295.55
  4. Step 4: Simplify right side
    1,321.47x = 2,359,857.28
  5. Step 5: Solve for x
    x = 2,359,857.28/1,321.47
  6. Step 6: Final answer
    x = 1,785.78

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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.