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Finding the Fourth Proportional to 2,152.62, 3,228.91 and 691.77

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Solution

The fourth proportional to 2,152.62, 3,228.91 and 691.77 is: 1,037.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,152.62 : 3,228.91 = 691.77 : x
  2. Step 2: Convert to fraction form
    2,152.62/3,228.91 = 691.77/x
  3. Step 3: Cross multiply
    2,152.62x = 3,228.91 × 691.77
  4. Step 4: Simplify right side
    2,152.62x = 2,233,677.34
  5. Step 5: Solve for x
    x = 2,233,677.34/2,152.62
  6. Step 6: Final answer
    x = 1,037.66

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1.5x scale

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.