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Finding the Fourth Proportional to 2,466, 3,402.06 and 1,627.64

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Solution

The fourth proportional to 2,466, 3,402.06 and 1,627.64 is: 2,245.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 3,402.06 = 1,627.64 : x
  2. Step 2: Convert to fraction form
    2,466/3,402.06 = 1,627.64/x
  3. Step 3: Cross multiply
    2,466x = 3,402.06 × 1,627.64
  4. Step 4: Simplify right side
    2,466x = 5,537,328.94
  5. Step 5: Solve for x
    x = 5,537,328.94/2,466
  6. Step 6: Final answer
    x = 2,245.47

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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.