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Finding the Fourth Proportional to 2,116.98, 3,175.69 and 883.70

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Solution

The fourth proportional to 2,116.98, 3,175.69 and 883.70 is: 1,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116.98 : 3,175.69 = 883.70 : x
  2. Step 2: Convert to fraction form
    2,116.98/3,175.69 = 883.70/x
  3. Step 3: Cross multiply
    2,116.98x = 3,175.69 × 883.70
  4. Step 4: Simplify right side
    2,116.98x = 2,806,357.25
  5. Step 5: Solve for x
    x = 2,806,357.25/2,116.98
  6. Step 6: Final answer
    x = 1,325.64

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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.