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Finding the Fourth Proportional to 2,117.76, 2,922.79 and 1,278.94

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Solution

The fourth proportional to 2,117.76, 2,922.79 and 1,278.94 is: 1,765.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.76 : 2,922.79 = 1,278.94 : x
  2. Step 2: Convert to fraction form
    2,117.76/2,922.79 = 1,278.94/x
  3. Step 3: Cross multiply
    2,117.76x = 2,922.79 × 1,278.94
  4. Step 4: Simplify right side
    2,117.76x = 3,738,073.04
  5. Step 5: Solve for x
    x = 3,738,073.04/2,117.76
  6. Step 6: Final answer
    x = 1,765.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.