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Finding the Fourth Proportional to 2,467.92, 3,700.95 and 1,006.29

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Solution

The fourth proportional to 2,467.92, 3,700.95 and 1,006.29 is: 1,509.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467.92 : 3,700.95 = 1,006.29 : x
  2. Step 2: Convert to fraction form
    2,467.92/3,700.95 = 1,006.29/x
  3. Step 3: Cross multiply
    2,467.92x = 3,700.95 × 1,006.29
  4. Step 4: Simplify right side
    2,467.92x = 3,724,228.98
  5. Step 5: Solve for x
    x = 3,724,228.98/2,467.92
  6. Step 6: Final answer
    x = 1,509.06

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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.