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Finding the Fourth Proportional to 2,076.88, 2,865.98 and 1,290.92

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Solution

The fourth proportional to 2,076.88, 2,865.98 and 1,290.92 is: 1,781.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,076.88 : 2,865.98 = 1,290.92 : x
  2. Step 2: Convert to fraction form
    2,076.88/2,865.98 = 1,290.92/x
  3. Step 3: Cross multiply
    2,076.88x = 2,865.98 × 1,290.92
  4. Step 4: Simplify right side
    2,076.88x = 3,699,750.90
  5. Step 5: Solve for x
    x = 3,699,750.90/2,076.88
  6. Step 6: Final answer
    x = 1,781.40

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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.