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Finding the Fourth Proportional to 1,787.34, 2,681.46 and 691.77

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Solution

The fourth proportional to 1,787.34, 2,681.46 and 691.77 is: 1,037.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.34 : 2,681.46 = 691.77 : x
  2. Step 2: Convert to fraction form
    1,787.34/2,681.46 = 691.77/x
  3. Step 3: Cross multiply
    1,787.34x = 2,681.46 × 691.77
  4. Step 4: Simplify right side
    1,787.34x = 1,854,953.58
  5. Step 5: Solve for x
    x = 1,854,953.58/1,787.34
  6. Step 6: Final answer
    x = 1,037.83

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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.