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Finding the Fourth Proportional to 3,264.60, 4,506.17 and 2,085.67

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Solution

The fourth proportional to 3,264.60, 4,506.17 and 2,085.67 is: 2,878.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,264.60 : 4,506.17 = 2,085.67 : x
  2. Step 2: Convert to fraction form
    3,264.60/4,506.17 = 2,085.67/x
  3. Step 3: Cross multiply
    3,264.60x = 4,506.17 × 2,085.67
  4. Step 4: Simplify right side
    3,264.60x = 9,398,394.43
  5. Step 5: Solve for x
    x = 9,398,394.43/3,264.60
  6. Step 6: Final answer
    x = 2,878.88

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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.