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Finding the Fourth Proportional to 2,499.85, 3,749.98 and 855.96

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Solution

The fourth proportional to 2,499.85, 3,749.98 and 855.96 is: 1,284.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.85 : 3,749.98 = 855.96 : x
  2. Step 2: Convert to fraction form
    2,499.85/3,749.98 = 855.96/x
  3. Step 3: Cross multiply
    2,499.85x = 3,749.98 × 855.96
  4. Step 4: Simplify right side
    2,499.85x = 3,209,814.13
  5. Step 5: Solve for x
    x = 3,209,814.13/2,499.85
  6. Step 6: Final answer
    x = 1,284.00

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