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Finding the Fourth Proportional to 2,242.60, 3,107.90 and 2,211.28

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Solution

The fourth proportional to 2,242.60, 3,107.90 and 2,211.28 is: 3,064.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242.60 : 3,107.90 = 2,211.28 : x
  2. Step 2: Convert to fraction form
    2,242.60/3,107.90 = 2,211.28/x
  3. Step 3: Cross multiply
    2,242.60x = 3,107.90 × 2,211.28
  4. Step 4: Simplify right side
    2,242.60x = 6,872,437.11
  5. Step 5: Solve for x
    x = 6,872,437.11/2,242.60
  6. Step 6: Final answer
    x = 3,064.50

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.