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Finding the Fourth Proportional to 2,159.30, 2,980.41 and 1,275.41

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Solution

The fourth proportional to 2,159.30, 2,980.41 and 1,275.41 is: 1,760.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.30 : 2,980.41 = 1,275.41 : x
  2. Step 2: Convert to fraction form
    2,159.30/2,980.41 = 1,275.41/x
  3. Step 3: Cross multiply
    2,159.30x = 2,980.41 × 1,275.41
  4. Step 4: Simplify right side
    2,159.30x = 3,801,244.72
  5. Step 5: Solve for x
    x = 3,801,244.72/2,159.30
  6. Step 6: Final answer
    x = 1,760.41

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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.