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Finding the Fourth Proportional to 1,471.61, 2,030.91 and 882.56

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Solution

The fourth proportional to 1,471.61, 2,030.91 and 882.56 is: 1,217.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.61 : 2,030.91 = 882.56 : x
  2. Step 2: Convert to fraction form
    1,471.61/2,030.91 = 882.56/x
  3. Step 3: Cross multiply
    1,471.61x = 2,030.91 × 882.56
  4. Step 4: Simplify right side
    1,471.61x = 1,792,399.93
  5. Step 5: Solve for x
    x = 1,792,399.93/1,471.61
  6. Step 6: Final answer
    x = 1,217.99

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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.