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Finding the Fourth Proportional to 1,493.28, 2,047.28 and 1,470.56

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Solution

The fourth proportional to 1,493.28, 2,047.28 and 1,470.56 is: 2,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.28 : 2,047.28 = 1,470.56 : x
  2. Step 2: Convert to fraction form
    1,493.28/2,047.28 = 1,470.56/x
  3. Step 3: Cross multiply
    1,493.28x = 2,047.28 × 1,470.56
  4. Step 4: Simplify right side
    1,493.28x = 3,010,648.08
  5. Step 5: Solve for x
    x = 3,010,648.08/1,493.28
  6. Step 6: Final answer
    x = 2,016.13

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.