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Finding the Fourth Proportional to 2,379.42, 3,569.49 and 735.66

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Solution

The fourth proportional to 2,379.42, 3,569.49 and 735.66 is: 1,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,379.42 : 3,569.49 = 735.66 : x
  2. Step 2: Convert to fraction form
    2,379.42/3,569.49 = 735.66/x
  3. Step 3: Cross multiply
    2,379.42x = 3,569.49 × 735.66
  4. Step 4: Simplify right side
    2,379.42x = 2,625,931.01
  5. Step 5: Solve for x
    x = 2,625,931.01/2,379.42
  6. Step 6: Final answer
    x = 1,103.60

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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.