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Finding the Fourth Proportional to 2,397.74, 3,309.81 and 1,873.94

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Solution

The fourth proportional to 2,397.74, 3,309.81 and 1,873.94 is: 2,586.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.74 : 3,309.81 = 1,873.94 : x
  2. Step 2: Convert to fraction form
    2,397.74/3,309.81 = 1,873.94/x
  3. Step 3: Cross multiply
    2,397.74x = 3,309.81 × 1,873.94
  4. Step 4: Simplify right side
    2,397.74x = 6,202,385.35
  5. Step 5: Solve for x
    x = 6,202,385.35/2,397.74
  6. Step 6: Final answer
    x = 2,586.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.