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Finding the Fourth Proportional to 2,331.75, 3,498.63 and 870.72

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Solution

The fourth proportional to 2,331.75, 3,498.63 and 870.72 is: 1,306.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,331.75 : 3,498.63 = 870.72 : x
  2. Step 2: Convert to fraction form
    2,331.75/3,498.63 = 870.72/x
  3. Step 3: Cross multiply
    2,331.75x = 3,498.63 × 870.72
  4. Step 4: Simplify right side
    2,331.75x = 3,046,327.11
  5. Step 5: Solve for x
    x = 3,046,327.11/2,331.75
  6. Step 6: Final answer
    x = 1,306.46

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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.