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Finding the Fourth Proportional to 2,497.87, 3,746.81 and 1,400.59

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Solution

The fourth proportional to 2,497.87, 3,746.81 and 1,400.59 is: 2,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.87 : 3,746.81 = 1,400.59 : x
  2. Step 2: Convert to fraction form
    2,497.87/3,746.81 = 1,400.59/x
  3. Step 3: Cross multiply
    2,497.87x = 3,746.81 × 1,400.59
  4. Step 4: Simplify right side
    2,497.87x = 5,247,744.62
  5. Step 5: Solve for x
    x = 5,247,744.62/2,497.87
  6. Step 6: Final answer
    x = 2,100.89

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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.