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Finding the Fourth Proportional to 2,681.97, 4,022.83 and 734.17

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Solution

The fourth proportional to 2,681.97, 4,022.83 and 734.17 is: 1,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,681.97 : 4,022.83 = 734.17 : x
  2. Step 2: Convert to fraction form
    2,681.97/4,022.83 = 734.17/x
  3. Step 3: Cross multiply
    2,681.97x = 4,022.83 × 734.17
  4. Step 4: Simplify right side
    2,681.97x = 2,953,417.32
  5. Step 5: Solve for x
    x = 2,953,417.32/2,681.97
  6. Step 6: Final answer
    x = 1,101.21

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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.