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Finding the Fourth Proportional to 3,102.61, 4,281.50 and 2,266.85

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Solution

The fourth proportional to 3,102.61, 4,281.50 and 2,266.85 is: 3,128.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.61 : 4,281.50 = 2,266.85 : x
  2. Step 2: Convert to fraction form
    3,102.61/4,281.50 = 2,266.85/x
  3. Step 3: Cross multiply
    3,102.61x = 4,281.50 × 2,266.85
  4. Step 4: Simplify right side
    3,102.61x = 9,705,494.03
  5. Step 5: Solve for x
    x = 9,705,494.03/3,102.61
  6. Step 6: Final answer
    x = 3,128.17

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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.