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Finding the Fourth Proportional to 3,601.86, 4,971 and 2,008.77

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Solution

The fourth proportional to 3,601.86, 4,971 and 2,008.77 is: 2,772.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,601.86 : 4,971 = 2,008.77 : x
  2. Step 2: Convert to fraction form
    3,601.86/4,971 = 2,008.77/x
  3. Step 3: Cross multiply
    3,601.86x = 4,971 × 2,008.77
  4. Step 4: Simplify right side
    3,601.86x = 9,985,595.67
  5. Step 5: Solve for x
    x = 9,985,595.67/3,601.86
  6. Step 6: Final answer
    x = 2,772.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.