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Finding the Fourth Proportional to 1,761.20, 2,642.56 and 837.40

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Solution

The fourth proportional to 1,761.20, 2,642.56 and 837.40 is: 1,256.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.20 : 2,642.56 = 837.40 : x
  2. Step 2: Convert to fraction form
    1,761.20/2,642.56 = 837.40/x
  3. Step 3: Cross multiply
    1,761.20x = 2,642.56 × 837.40
  4. Step 4: Simplify right side
    1,761.20x = 2,212,879.74
  5. Step 5: Solve for x
    x = 2,212,879.74/1,761.20
  6. Step 6: Final answer
    x = 1,256.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.