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Finding the Fourth Proportional to 1,916.97, 2,645.35 and 1,066.20

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Solution

The fourth proportional to 1,916.97, 2,645.35 and 1,066.20 is: 1,471.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.97 : 2,645.35 = 1,066.20 : x
  2. Step 2: Convert to fraction form
    1,916.97/2,645.35 = 1,066.20/x
  3. Step 3: Cross multiply
    1,916.97x = 2,645.35 × 1,066.20
  4. Step 4: Simplify right side
    1,916.97x = 2,820,469.50
  5. Step 5: Solve for x
    x = 2,820,469.50/1,916.97
  6. Step 6: Final answer
    x = 1,471.32

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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.