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Finding the Fourth Proportional to 2,497.64, 3,742.74 and 2,224.26

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Solution

The fourth proportional to 2,497.64, 3,742.74 and 2,224.26 is: 3,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,497.64 : 3,742.74 = 2,224.26 : x
  2. Step 2: Convert to fraction form
    2,497.64/3,742.74 = 2,224.26/x
  3. Step 3: Cross multiply
    2,497.64x = 3,742.74 × 2,224.26
  4. Step 4: Simplify right side
    2,497.64x = 8,324,826.87
  5. Step 5: Solve for x
    x = 8,324,826.87/2,497.64
  6. Step 6: Final answer
    x = 3,333.08

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1.5x scale

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.