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Finding the Fourth Proportional to 2,476, 3,713.76 and 1,176.64

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Solution

The fourth proportional to 2,476, 3,713.76 and 1,176.64 is: 1,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,476 : 3,713.76 = 1,176.64 : x
  2. Step 2: Convert to fraction form
    2,476/3,713.76 = 1,176.64/x
  3. Step 3: Cross multiply
    2,476x = 3,713.76 × 1,176.64
  4. Step 4: Simplify right side
    2,476x = 4,369,758.57
  5. Step 5: Solve for x
    x = 4,369,758.57/2,476
  6. Step 6: Final answer
    x = 1,764.85

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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.