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Finding the Fourth Proportional to 2,467.49, 3,404.70 and 1,472.70

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Solution

The fourth proportional to 2,467.49, 3,404.70 and 1,472.70 is: 2,032.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.49 : 3,404.70 = 1,472.70 : x
  2. Step 2: Convert to fraction form
    2,467.49/3,404.70 = 1,472.70/x
  3. Step 3: Cross multiply
    2,467.49x = 3,404.70 × 1,472.70
  4. Step 4: Simplify right side
    2,467.49x = 5,014,114.46
  5. Step 5: Solve for x
    x = 5,014,114.46/2,467.49
  6. Step 6: Final answer
    x = 2,032.07

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1.5x scale

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.