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Finding the Fourth Proportional to 2,494.86, 3,749.58 and 2,313.84

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Solution

The fourth proportional to 2,494.86, 3,749.58 and 2,313.84 is: 3,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,494.86 : 3,749.58 = 2,313.84 : x
  2. Step 2: Convert to fraction form
    2,494.86/3,749.58 = 2,313.84/x
  3. Step 3: Cross multiply
    2,494.86x = 3,749.58 × 2,313.84
  4. Step 4: Simplify right side
    2,494.86x = 8,675,928.19
  5. Step 5: Solve for x
    x = 8,675,928.19/2,494.86
  6. Step 6: Final answer
    x = 3,477.52

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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.