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Finding the Fourth Proportional to 2,689.97, 3,713.42 and 1,795.20

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Solution

The fourth proportional to 2,689.97, 3,713.42 and 1,795.20 is: 2,478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.97 : 3,713.42 = 1,795.20 : x
  2. Step 2: Convert to fraction form
    2,689.97/3,713.42 = 1,795.20/x
  3. Step 3: Cross multiply
    2,689.97x = 3,713.42 × 1,795.20
  4. Step 4: Simplify right side
    2,689.97x = 6,666,322.61
  5. Step 5: Solve for x
    x = 6,666,322.61/2,689.97
  6. Step 6: Final answer
    x = 2,478.22

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1.5x scale

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.