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Finding the Fourth Proportional to 1,876.12, 2,592.48 and 1,626.64

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Solution

The fourth proportional to 1,876.12, 2,592.48 and 1,626.64 is: 2,247.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876.12 : 2,592.48 = 1,626.64 : x
  2. Step 2: Convert to fraction form
    1,876.12/2,592.48 = 1,626.64/x
  3. Step 3: Cross multiply
    1,876.12x = 2,592.48 × 1,626.64
  4. Step 4: Simplify right side
    1,876.12x = 4,217,031.67
  5. Step 5: Solve for x
    x = 4,217,031.67/1,876.12
  6. Step 6: Final answer
    x = 2,247.74

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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.