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Finding the Fourth Proportional to 2,742.66, 4,132.80 and 2,266.38

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Solution

The fourth proportional to 2,742.66, 4,132.80 and 2,266.38 is: 3,415.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.66 : 4,132.80 = 2,266.38 : x
  2. Step 2: Convert to fraction form
    2,742.66/4,132.80 = 2,266.38/x
  3. Step 3: Cross multiply
    2,742.66x = 4,132.80 × 2,266.38
  4. Step 4: Simplify right side
    2,742.66x = 9,366,495.26
  5. Step 5: Solve for x
    x = 9,366,495.26/2,742.66
  6. Step 6: Final answer
    x = 3,415.11

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.