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Finding the Fourth Proportional to 1,471.18, 2,204.76 and 741.25

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Solution

The fourth proportional to 1,471.18, 2,204.76 and 741.25 is: 1,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.18 : 2,204.76 = 741.25 : x
  2. Step 2: Convert to fraction form
    1,471.18/2,204.76 = 741.25/x
  3. Step 3: Cross multiply
    1,471.18x = 2,204.76 × 741.25
  4. Step 4: Simplify right side
    1,471.18x = 1,634,278.35
  5. Step 5: Solve for x
    x = 1,634,278.35/1,471.18
  6. Step 6: Final answer
    x = 1,110.86

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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.