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Finding the Fourth Proportional to 2,499.64, 3,750.06 and 855.92

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Solution

The fourth proportional to 2,499.64, 3,750.06 and 855.92 is: 1,284.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.64 : 3,750.06 = 855.92 : x
  2. Step 2: Convert to fraction form
    2,499.64/3,750.06 = 855.92/x
  3. Step 3: Cross multiply
    2,499.64x = 3,750.06 × 855.92
  4. Step 4: Simplify right side
    2,499.64x = 3,209,751.36
  5. Step 5: Solve for x
    x = 3,209,751.36/2,499.64
  6. Step 6: Final answer
    x = 1,284.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.