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Finding the Fourth Proportional to 1,924.21, 2,886.56 and 691.76

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Solution

The fourth proportional to 1,924.21, 2,886.56 and 691.76 is: 1,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.21 : 2,886.56 = 691.76 : x
  2. Step 2: Convert to fraction form
    1,924.21/2,886.56 = 691.76/x
  3. Step 3: Cross multiply
    1,924.21x = 2,886.56 × 691.76
  4. Step 4: Simplify right side
    1,924.21x = 1,996,794.04
  5. Step 5: Solve for x
    x = 1,996,794.04/1,924.21
  6. Step 6: Final answer
    x = 1,037.72

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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.