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Finding the Fourth Proportional to 1,350.13, 2,026.87 and 886.46

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Solution

The fourth proportional to 1,350.13, 2,026.87 and 886.46 is: 1,330.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,350.13 : 2,026.87 = 886.46 : x
  2. Step 2: Convert to fraction form
    1,350.13/2,026.87 = 886.46/x
  3. Step 3: Cross multiply
    1,350.13x = 2,026.87 × 886.46
  4. Step 4: Simplify right side
    1,350.13x = 1,796,739.18
  5. Step 5: Solve for x
    x = 1,796,739.18/1,350.13
  6. Step 6: Final answer
    x = 1,330.79

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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.