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Finding the Fourth Proportional to 2,665.90, 3,670.68 and 2,292.22

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Solution

The fourth proportional to 2,665.90, 3,670.68 and 2,292.22 is: 3,156.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.90 : 3,670.68 = 2,292.22 : x
  2. Step 2: Convert to fraction form
    2,665.90/3,670.68 = 2,292.22/x
  3. Step 3: Cross multiply
    2,665.90x = 3,670.68 × 2,292.22
  4. Step 4: Simplify right side
    2,665.90x = 8,414,006.11
  5. Step 5: Solve for x
    x = 8,414,006.11/2,665.90
  6. Step 6: Final answer
    x = 3,156.16

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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.