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Finding the Fourth Proportional to 2,526.56, 3,788.74 and 966.92

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Solution

The fourth proportional to 2,526.56, 3,788.74 and 966.92 is: 1,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.56 : 3,788.74 = 966.92 : x
  2. Step 2: Convert to fraction form
    2,526.56/3,788.74 = 966.92/x
  3. Step 3: Cross multiply
    2,526.56x = 3,788.74 × 966.92
  4. Step 4: Simplify right side
    2,526.56x = 3,663,408.48
  5. Step 5: Solve for x
    x = 3,663,408.48/2,526.56
  6. Step 6: Final answer
    x = 1,449.96

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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.