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Finding the Fourth Proportional to 2,499.86, 3,750.46 and 856.42

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Solution

The fourth proportional to 2,499.86, 3,750.46 and 856.42 is: 1,284.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.86 : 3,750.46 = 856.42 : x
  2. Step 2: Convert to fraction form
    2,499.86/3,750.46 = 856.42/x
  3. Step 3: Cross multiply
    2,499.86x = 3,750.46 × 856.42
  4. Step 4: Simplify right side
    2,499.86x = 3,211,968.95
  5. Step 5: Solve for x
    x = 3,211,968.95/2,499.86
  6. Step 6: Final answer
    x = 1,284.86

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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.