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Finding the Fourth Proportional to 2,499.68, 3,749.10 and 856.28

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Solution

The fourth proportional to 2,499.68, 3,749.10 and 856.28 is: 1,284.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.68 : 3,749.10 = 856.28 : x
  2. Step 2: Convert to fraction form
    2,499.68/3,749.10 = 856.28/x
  3. Step 3: Cross multiply
    2,499.68x = 3,749.10 × 856.28
  4. Step 4: Simplify right side
    2,499.68x = 3,210,279.35
  5. Step 5: Solve for x
    x = 3,210,279.35/2,499.68
  6. Step 6: Final answer
    x = 1,284.28

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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.