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Finding the Fourth Proportional to 2,669.97, 4,004.96 and 722.32

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Solution

The fourth proportional to 2,669.97, 4,004.96 and 722.32 is: 1,083.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.97 : 4,004.96 = 722.32 : x
  2. Step 2: Convert to fraction form
    2,669.97/4,004.96 = 722.32/x
  3. Step 3: Cross multiply
    2,669.97x = 4,004.96 × 722.32
  4. Step 4: Simplify right side
    2,669.97x = 2,892,862.71
  5. Step 5: Solve for x
    x = 2,892,862.71/2,669.97
  6. Step 6: Final answer
    x = 1,083.48

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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.