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Finding the Fourth Proportional to 2,707.12, 4,060.53 and 952.21

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Solution

The fourth proportional to 2,707.12, 4,060.53 and 952.21 is: 1,428.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,707.12 : 4,060.53 = 952.21 : x
  2. Step 2: Convert to fraction form
    2,707.12/4,060.53 = 952.21/x
  3. Step 3: Cross multiply
    2,707.12x = 4,060.53 × 952.21
  4. Step 4: Simplify right side
    2,707.12x = 3,866,477.27
  5. Step 5: Solve for x
    x = 3,866,477.27/2,707.12
  6. Step 6: Final answer
    x = 1,428.26

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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.