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Finding the Fourth Proportional to 2,526.64, 3,788.19 and 966.58

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Solution

The fourth proportional to 2,526.64, 3,788.19 and 966.58 is: 1,449.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,526.64 : 3,788.19 = 966.58 : x
  2. Step 2: Convert to fraction form
    2,526.64/3,788.19 = 966.58/x
  3. Step 3: Cross multiply
    2,526.64x = 3,788.19 × 966.58
  4. Step 4: Simplify right side
    2,526.64x = 3,661,588.69
  5. Step 5: Solve for x
    x = 3,661,588.69/2,526.64
  6. Step 6: Final answer
    x = 1,449.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.