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Finding the Fourth Proportional to 2,159.63, 2,979.63 and 1,275.11

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Solution

The fourth proportional to 2,159.63, 2,979.63 and 1,275.11 is: 1,759.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.63 : 2,979.63 = 1,275.11 : x
  2. Step 2: Convert to fraction form
    2,159.63/2,979.63 = 1,275.11/x
  3. Step 3: Cross multiply
    2,159.63x = 2,979.63 × 1,275.11
  4. Step 4: Simplify right side
    2,159.63x = 3,799,356.01
  5. Step 5: Solve for x
    x = 3,799,356.01/2,159.63
  6. Step 6: Final answer
    x = 1,759.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.