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Finding the Fourth Proportional to 2,952.76, 4,074.62 and 1,626.40

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Solution

The fourth proportional to 2,952.76, 4,074.62 and 1,626.40 is: 2,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,952.76 : 4,074.62 = 1,626.40 : x
  2. Step 2: Convert to fraction form
    2,952.76/4,074.62 = 1,626.40/x
  3. Step 3: Cross multiply
    2,952.76x = 4,074.62 × 1,626.40
  4. Step 4: Simplify right side
    2,952.76x = 6,626,961.97
  5. Step 5: Solve for x
    x = 6,626,961.97/2,952.76
  6. Step 6: Final answer
    x = 2,244.33

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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.