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Finding the Fourth Proportional to 1,917.76, 2,645.52 and 1,218.40

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Solution

The fourth proportional to 1,917.76, 2,645.52 and 1,218.40 is: 1,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,917.76 : 2,645.52 = 1,218.40 : x
  2. Step 2: Convert to fraction form
    1,917.76/2,645.52 = 1,218.40/x
  3. Step 3: Cross multiply
    1,917.76x = 2,645.52 × 1,218.40
  4. Step 4: Simplify right side
    1,917.76x = 3,223,301.57
  5. Step 5: Solve for x
    x = 3,223,301.57/1,917.76
  6. Step 6: Final answer
    x = 1,680.76

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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.