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Finding the Fourth Proportional to 2,862.77, 3,951.01 and 1,728.49

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Solution

The fourth proportional to 2,862.77, 3,951.01 and 1,728.49 is: 2,385.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,862.77 : 3,951.01 = 1,728.49 : x
  2. Step 2: Convert to fraction form
    2,862.77/3,951.01 = 1,728.49/x
  3. Step 3: Cross multiply
    2,862.77x = 3,951.01 × 1,728.49
  4. Step 4: Simplify right side
    2,862.77x = 6,829,272.63
  5. Step 5: Solve for x
    x = 6,829,272.63/2,862.77
  6. Step 6: Final answer
    x = 2,385.55

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1.5x scale

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.