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Finding the Fourth Proportional to 2,689.70, 3,711.77 and 1,570.68

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Solution

The fourth proportional to 2,689.70, 3,711.77 and 1,570.68 is: 2,167.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.70 : 3,711.77 = 1,570.68 : x
  2. Step 2: Convert to fraction form
    2,689.70/3,711.77 = 1,570.68/x
  3. Step 3: Cross multiply
    2,689.70x = 3,711.77 × 1,570.68
  4. Step 4: Simplify right side
    2,689.70x = 5,829,995.05
  5. Step 5: Solve for x
    x = 5,829,995.05/2,689.70
  6. Step 6: Final answer
    x = 2,167.53

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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.