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Finding the Fourth Proportional to 2,159.30, 2,980.42 and 1,275.42

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Solution

The fourth proportional to 2,159.30, 2,980.42 and 1,275.42 is: 1,760.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.30 : 2,980.42 = 1,275.42 : x
  2. Step 2: Convert to fraction form
    2,159.30/2,980.42 = 1,275.42/x
  3. Step 3: Cross multiply
    2,159.30x = 2,980.42 × 1,275.42
  4. Step 4: Simplify right side
    2,159.30x = 3,801,287.28
  5. Step 5: Solve for x
    x = 3,801,287.28/2,159.30
  6. Step 6: Final answer
    x = 1,760.43

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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.