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Finding the Fourth Proportional to 2,117.84, 2,922.04 and 1,278.36

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Solution

The fourth proportional to 2,117.84, 2,922.04 and 1,278.36 is: 1,763.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117.84 : 2,922.04 = 1,278.36 : x
  2. Step 2: Convert to fraction form
    2,117.84/2,922.04 = 1,278.36/x
  3. Step 3: Cross multiply
    2,117.84x = 2,922.04 × 1,278.36
  4. Step 4: Simplify right side
    2,117.84x = 3,735,419.05
  5. Step 5: Solve for x
    x = 3,735,419.05/2,117.84
  6. Step 6: Final answer
    x = 1,763.79

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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.