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Finding the Fourth Proportional to 2,475.76, 3,714.12 and 1,243.44

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Solution

The fourth proportional to 2,475.76, 3,714.12 and 1,243.44 is: 1,865.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.76 : 3,714.12 = 1,243.44 : x
  2. Step 2: Convert to fraction form
    2,475.76/3,714.12 = 1,243.44/x
  3. Step 3: Cross multiply
    2,475.76x = 3,714.12 × 1,243.44
  4. Step 4: Simplify right side
    2,475.76x = 4,618,285.37
  5. Step 5: Solve for x
    x = 4,618,285.37/2,475.76
  6. Step 6: Final answer
    x = 1,865.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.