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Finding the Fourth Proportional to 1,924.61, 2,885.19 and 691.73

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Solution

The fourth proportional to 1,924.61, 2,885.19 and 691.73 is: 1,036.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.61 : 2,885.19 = 691.73 : x
  2. Step 2: Convert to fraction form
    1,924.61/2,885.19 = 691.73/x
  3. Step 3: Cross multiply
    1,924.61x = 2,885.19 × 691.73
  4. Step 4: Simplify right side
    1,924.61x = 1,995,777.10
  5. Step 5: Solve for x
    x = 1,995,777.10/1,924.61
  6. Step 6: Final answer
    x = 1,036.98

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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.