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Finding the Fourth Proportional to 2,625.98, 3,937.96 and 870.46

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Solution

The fourth proportional to 2,625.98, 3,937.96 and 870.46 is: 1,305.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625.98 : 3,937.96 = 870.46 : x
  2. Step 2: Convert to fraction form
    2,625.98/3,937.96 = 870.46/x
  3. Step 3: Cross multiply
    2,625.98x = 3,937.96 × 870.46
  4. Step 4: Simplify right side
    2,625.98x = 3,427,836.66
  5. Step 5: Solve for x
    x = 3,427,836.66/2,625.98
  6. Step 6: Final answer
    x = 1,305.36

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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.