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Finding the Fourth Proportional to 3,281.48, 4,528.18 and 1,865.20

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Solution

The fourth proportional to 3,281.48, 4,528.18 and 1,865.20 is: 2,573.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.48 : 4,528.18 = 1,865.20 : x
  2. Step 2: Convert to fraction form
    3,281.48/4,528.18 = 1,865.20/x
  3. Step 3: Cross multiply
    3,281.48x = 4,528.18 × 1,865.20
  4. Step 4: Simplify right side
    3,281.48x = 8,445,961.34
  5. Step 5: Solve for x
    x = 8,445,961.34/3,281.48
  6. Step 6: Final answer
    x = 2,573.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.