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Finding the Fourth Proportional to 2,064.24, 3,096.20 and 525.20

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Solution

The fourth proportional to 2,064.24, 3,096.20 and 525.20 is: 787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,064.24 : 3,096.20 = 525.20 : x
  2. Step 2: Convert to fraction form
    2,064.24/3,096.20 = 525.20/x
  3. Step 3: Cross multiply
    2,064.24x = 3,096.20 × 525.20
  4. Step 4: Simplify right side
    2,064.24x = 1,626,124.24
  5. Step 5: Solve for x
    x = 1,626,124.24/2,064.24
  6. Step 6: Final answer
    x = 787.76

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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.