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Finding the Fourth Proportional to 2,497.92, 3,746.81 and 1,454.72

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Solution

The fourth proportional to 2,497.92, 3,746.81 and 1,454.72 is: 2,182.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.92 : 3,746.81 = 1,454.72 : x
  2. Step 2: Convert to fraction form
    2,497.92/3,746.81 = 1,454.72/x
  3. Step 3: Cross multiply
    2,497.92x = 3,746.81 × 1,454.72
  4. Step 4: Simplify right side
    2,497.92x = 5,450,533.44
  5. Step 5: Solve for x
    x = 5,450,533.44/2,497.92
  6. Step 6: Final answer
    x = 2,182.03

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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.