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Finding the Fourth Proportional to 2,116.85, 2,921.40 and 1,277.75

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Solution

The fourth proportional to 2,116.85, 2,921.40 and 1,277.75 is: 1,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.85 : 2,921.40 = 1,277.75 : x
  2. Step 2: Convert to fraction form
    2,116.85/2,921.40 = 1,277.75/x
  3. Step 3: Cross multiply
    2,116.85x = 2,921.40 × 1,277.75
  4. Step 4: Simplify right side
    2,116.85x = 3,732,826.15
  5. Step 5: Solve for x
    x = 3,732,826.15/2,116.85
  6. Step 6: Final answer
    x = 1,763.39

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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.