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Finding the Fourth Proportional to 1,610.17, 2,223.87 and 1,139.25

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Solution

The fourth proportional to 1,610.17, 2,223.87 and 1,139.25 is: 1,573.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.17 : 2,223.87 = 1,139.25 : x
  2. Step 2: Convert to fraction form
    1,610.17/2,223.87 = 1,139.25/x
  3. Step 3: Cross multiply
    1,610.17x = 2,223.87 × 1,139.25
  4. Step 4: Simplify right side
    1,610.17x = 2,533,543.90
  5. Step 5: Solve for x
    x = 2,533,543.90/1,610.17
  6. Step 6: Final answer
    x = 1,573.46

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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.