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Finding the Fourth Proportional to 2,417.97, 3,625.92 and 774.08

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Solution

The fourth proportional to 2,417.97, 3,625.92 and 774.08 is: 1,160.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,417.97 : 3,625.92 = 774.08 : x
  2. Step 2: Convert to fraction form
    2,417.97/3,625.92 = 774.08/x
  3. Step 3: Cross multiply
    2,417.97x = 3,625.92 × 774.08
  4. Step 4: Simplify right side
    2,417.97x = 2,806,734.02
  5. Step 5: Solve for x
    x = 2,806,734.02/2,417.97
  6. Step 6: Final answer
    x = 1,160.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.