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Finding the Fourth Proportional to 2,369.86, 3,267.64 and 2,226.89

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Solution

The fourth proportional to 2,369.86, 3,267.64 and 2,226.89 is: 3,070.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369.86 : 3,267.64 = 2,226.89 : x
  2. Step 2: Convert to fraction form
    2,369.86/3,267.64 = 2,226.89/x
  3. Step 3: Cross multiply
    2,369.86x = 3,267.64 × 2,226.89
  4. Step 4: Simplify right side
    2,369.86x = 7,276,685.79
  5. Step 5: Solve for x
    x = 7,276,685.79/2,369.86
  6. Step 6: Final answer
    x = 3,070.52

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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.