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Finding the Fourth Proportional to 2,624.40, 3,620.07 and 2,064.02

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Solution

The fourth proportional to 2,624.40, 3,620.07 and 2,064.02 is: 2,847.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,624.40 : 3,620.07 = 2,064.02 : x
  2. Step 2: Convert to fraction form
    2,624.40/3,620.07 = 2,064.02/x
  3. Step 3: Cross multiply
    2,624.40x = 3,620.07 × 2,064.02
  4. Step 4: Simplify right side
    2,624.40x = 7,471,878.78
  5. Step 5: Solve for x
    x = 7,471,878.78/2,624.40
  6. Step 6: Final answer
    x = 2,847.08

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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.