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Finding the Fourth Proportional to 2,464.84, 3,679.61 and 2,284.84

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Solution

The fourth proportional to 2,464.84, 3,679.61 and 2,284.84 is: 3,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464.84 : 3,679.61 = 2,284.84 : x
  2. Step 2: Convert to fraction form
    2,464.84/3,679.61 = 2,284.84/x
  3. Step 3: Cross multiply
    2,464.84x = 3,679.61 × 2,284.84
  4. Step 4: Simplify right side
    2,464.84x = 8,407,320.11
  5. Step 5: Solve for x
    x = 8,407,320.11/2,464.84
  6. Step 6: Final answer
    x = 3,410.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.