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Finding the Fourth Proportional to 2,766.72, 4,130.22 and 2,351.46

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Solution

The fourth proportional to 2,766.72, 4,130.22 and 2,351.46 is: 3,510.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,766.72 : 4,130.22 = 2,351.46 : x
  2. Step 2: Convert to fraction form
    2,766.72/4,130.22 = 2,351.46/x
  3. Step 3: Cross multiply
    2,766.72x = 4,130.22 × 2,351.46
  4. Step 4: Simplify right side
    2,766.72x = 9,712,047.12
  5. Step 5: Solve for x
    x = 9,712,047.12/2,766.72
  6. Step 6: Final answer
    x = 3,510.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.