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Finding the Fourth Proportional to 1,570.57, 2,167.38 and 871.95

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Solution

The fourth proportional to 1,570.57, 2,167.38 and 871.95 is: 1,203.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.57 : 2,167.38 = 871.95 : x
  2. Step 2: Convert to fraction form
    1,570.57/2,167.38 = 871.95/x
  3. Step 3: Cross multiply
    1,570.57x = 2,167.38 × 871.95
  4. Step 4: Simplify right side
    1,570.57x = 1,889,836.15
  5. Step 5: Solve for x
    x = 1,889,836.15/1,570.57
  6. Step 6: Final answer
    x = 1,203.28

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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.