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Finding the Fourth Proportional to 2,159.25, 2,980.05 and 1,275.03

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Solution

The fourth proportional to 2,159.25, 2,980.05 and 1,275.03 is: 1,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.25 : 2,980.05 = 1,275.03 : x
  2. Step 2: Convert to fraction form
    2,159.25/2,980.05 = 1,275.03/x
  3. Step 3: Cross multiply
    2,159.25x = 2,980.05 × 1,275.03
  4. Step 4: Simplify right side
    2,159.25x = 3,799,653.15
  5. Step 5: Solve for x
    x = 3,799,653.15/2,159.25
  6. Step 6: Final answer
    x = 1,759.71

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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.