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Finding the Fourth Proportional to 1,761.71, 2,430.45 and 1,201.28

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Solution

The fourth proportional to 1,761.71, 2,430.45 and 1,201.28 is: 1,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,761.71 : 2,430.45 = 1,201.28 : x
  2. Step 2: Convert to fraction form
    1,761.71/2,430.45 = 1,201.28/x
  3. Step 3: Cross multiply
    1,761.71x = 2,430.45 × 1,201.28
  4. Step 4: Simplify right side
    1,761.71x = 2,919,638.82
  5. Step 5: Solve for x
    x = 2,919,638.82/1,761.71
  6. Step 6: Final answer
    x = 1,657.28

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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.