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Finding the Fourth Proportional to 2,475.84, 3,714.32 and 832.40

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Solution

The fourth proportional to 2,475.84, 3,714.32 and 832.40 is: 1,248.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,475.84 : 3,714.32 = 832.40 : x
  2. Step 2: Convert to fraction form
    2,475.84/3,714.32 = 832.40/x
  3. Step 3: Cross multiply
    2,475.84x = 3,714.32 × 832.40
  4. Step 4: Simplify right side
    2,475.84x = 3,091,799.97
  5. Step 5: Solve for x
    x = 3,091,799.97/2,475.84
  6. Step 6: Final answer
    x = 1,248.79

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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.