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Finding the Fourth Proportional to 2,662.74, 3,666.15 and 2,346.84

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Solution

The fourth proportional to 2,662.74, 3,666.15 and 2,346.84 is: 3,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.74 : 3,666.15 = 2,346.84 : x
  2. Step 2: Convert to fraction form
    2,662.74/3,666.15 = 2,346.84/x
  3. Step 3: Cross multiply
    2,662.74x = 3,666.15 × 2,346.84
  4. Step 4: Simplify right side
    2,662.74x = 8,603,867.47
  5. Step 5: Solve for x
    x = 8,603,867.47/2,662.74
  6. Step 6: Final answer
    x = 3,231.21

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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.