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Finding the Fourth Proportional to 1,467.52, 2,199.74 and 912.24

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Solution

The fourth proportional to 1,467.52, 2,199.74 and 912.24 is: 1,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,467.52 : 2,199.74 = 912.24 : x
  2. Step 2: Convert to fraction form
    1,467.52/2,199.74 = 912.24/x
  3. Step 3: Cross multiply
    1,467.52x = 2,199.74 × 912.24
  4. Step 4: Simplify right side
    1,467.52x = 2,006,686.26
  5. Step 5: Solve for x
    x = 2,006,686.26/1,467.52
  6. Step 6: Final answer
    x = 1,367.40

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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.