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Finding the Fourth Proportional to 1,610.17, 2,221.99 and 947.03

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Solution

The fourth proportional to 1,610.17, 2,221.99 and 947.03 is: 1,306.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.17 : 2,221.99 = 947.03 : x
  2. Step 2: Convert to fraction form
    1,610.17/2,221.99 = 947.03/x
  3. Step 3: Cross multiply
    1,610.17x = 2,221.99 × 947.03
  4. Step 4: Simplify right side
    1,610.17x = 2,104,291.19
  5. Step 5: Solve for x
    x = 2,104,291.19/1,610.17
  6. Step 6: Final answer
    x = 1,306.88

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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.