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Finding the Fourth Proportional to 2,466, 3,401.47 and 1,580.40

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Solution

The fourth proportional to 2,466, 3,401.47 and 1,580.40 is: 2,179.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 3,401.47 = 1,580.40 : x
  2. Step 2: Convert to fraction form
    2,466/3,401.47 = 1,580.40/x
  3. Step 3: Cross multiply
    2,466x = 3,401.47 × 1,580.40
  4. Step 4: Simplify right side
    2,466x = 5,375,683.19
  5. Step 5: Solve for x
    x = 5,375,683.19/2,466
  6. Step 6: Final answer
    x = 2,179.92

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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.