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Finding the Fourth Proportional to 1,493.06, 2,060.90 and 872.18

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Solution

The fourth proportional to 1,493.06, 2,060.90 and 872.18 is: 1,203.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.06 : 2,060.90 = 872.18 : x
  2. Step 2: Convert to fraction form
    1,493.06/2,060.90 = 872.18/x
  3. Step 3: Cross multiply
    1,493.06x = 2,060.90 × 872.18
  4. Step 4: Simplify right side
    1,493.06x = 1,797,475.76
  5. Step 5: Solve for x
    x = 1,797,475.76/1,493.06
  6. Step 6: Final answer
    x = 1,203.89

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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.