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Finding the Fourth Proportional to 3,774.42, 5,658.80 and 1,924.65

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Solution

The fourth proportional to 3,774.42, 5,658.80 and 1,924.65 is: 2,885.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.42 : 5,658.80 = 1,924.65 : x
  2. Step 2: Convert to fraction form
    3,774.42/5,658.80 = 1,924.65/x
  3. Step 3: Cross multiply
    3,774.42x = 5,658.80 × 1,924.65
  4. Step 4: Simplify right side
    3,774.42x = 10,891,199.80
  5. Step 5: Solve for x
    x = 10,891,199.80/3,774.42
  6. Step 6: Final answer
    x = 2,885.53

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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.