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Finding the Fourth Proportional to 1,626.70, 2,244.82 and 928.06

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Solution

The fourth proportional to 1,626.70, 2,244.82 and 928.06 is: 1,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,626.70 : 2,244.82 = 928.06 : x
  2. Step 2: Convert to fraction form
    1,626.70/2,244.82 = 928.06/x
  3. Step 3: Cross multiply
    1,626.70x = 2,244.82 × 928.06
  4. Step 4: Simplify right side
    1,626.70x = 2,083,327.65
  5. Step 5: Solve for x
    x = 2,083,327.65/1,626.70
  6. Step 6: Final answer
    x = 1,280.71

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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.