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Finding the Fourth Proportional to 1,930.74, 2,664.14 and 1,080

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Solution

The fourth proportional to 1,930.74, 2,664.14 and 1,080 is: 1,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,930.74 : 2,664.14 = 1,080 : x
  2. Step 2: Convert to fraction form
    1,930.74/2,664.14 = 1,080/x
  3. Step 3: Cross multiply
    1,930.74x = 2,664.14 × 1,080
  4. Step 4: Simplify right side
    1,930.74x = 2,877,265.80
  5. Step 5: Solve for x
    x = 2,877,265.80/1,930.74
  6. Step 6: Final answer
    x = 1,490.24

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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.