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Finding the Fourth Proportional to 2,149.84, 2,965.88 and 1,651.60

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Solution

The fourth proportional to 2,149.84, 2,965.88 and 1,651.60 is: 2,278.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,149.84 : 2,965.88 = 1,651.60 : x
  2. Step 2: Convert to fraction form
    2,149.84/2,965.88 = 1,651.60/x
  3. Step 3: Cross multiply
    2,149.84x = 2,965.88 × 1,651.60
  4. Step 4: Simplify right side
    2,149.84x = 4,898,447.41
  5. Step 5: Solve for x
    x = 4,898,447.41/2,149.84
  6. Step 6: Final answer
    x = 2,278.52

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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.