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Finding the Fourth Proportional to 2,626.26, 3,938.05 and 870.63

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Solution

The fourth proportional to 2,626.26, 3,938.05 and 870.63 is: 1,305.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,626.26 : 3,938.05 = 870.63 : x
  2. Step 2: Convert to fraction form
    2,626.26/3,938.05 = 870.63/x
  3. Step 3: Cross multiply
    2,626.26x = 3,938.05 × 870.63
  4. Step 4: Simplify right side
    2,626.26x = 3,428,601.96
  5. Step 5: Solve for x
    x = 3,428,601.96/2,626.26
  6. Step 6: Final answer
    x = 1,305.51

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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.