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Finding the Fourth Proportional to 1,959.17, 2,705.29 and 1,298.97

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Solution

The fourth proportional to 1,959.17, 2,705.29 and 1,298.97 is: 1,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.17 : 2,705.29 = 1,298.97 : x
  2. Step 2: Convert to fraction form
    1,959.17/2,705.29 = 1,298.97/x
  3. Step 3: Cross multiply
    1,959.17x = 2,705.29 × 1,298.97
  4. Step 4: Simplify right side
    1,959.17x = 3,514,090.55
  5. Step 5: Solve for x
    x = 3,514,090.55/1,959.17
  6. Step 6: Final answer
    x = 1,793.66

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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.