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Finding the Fourth Proportional to 1,924.81, 2,886.90 and 691.99

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Solution

The fourth proportional to 1,924.81, 2,886.90 and 691.99 is: 1,037.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.81 : 2,886.90 = 691.99 : x
  2. Step 2: Convert to fraction form
    1,924.81/2,886.90 = 691.99/x
  3. Step 3: Cross multiply
    1,924.81x = 2,886.90 × 691.99
  4. Step 4: Simplify right side
    1,924.81x = 1,997,705.93
  5. Step 5: Solve for x
    x = 1,997,705.93/1,924.81
  6. Step 6: Final answer
    x = 1,037.87

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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.