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Finding the Fourth Proportional to 1,924.41, 2,886.18 and 691.84

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Solution

The fourth proportional to 1,924.41, 2,886.18 and 691.84 is: 1,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.41 : 2,886.18 = 691.84 : x
  2. Step 2: Convert to fraction form
    1,924.41/2,886.18 = 691.84/x
  3. Step 3: Cross multiply
    1,924.41x = 2,886.18 × 691.84
  4. Step 4: Simplify right side
    1,924.41x = 1,996,779.68
  5. Step 5: Solve for x
    x = 1,996,779.68/1,924.41
  6. Step 6: Final answer
    x = 1,037.61

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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.