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Finding the Fourth Proportional to 1,520.80, 2,024.01 and 1,520.80

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Solution

The fourth proportional to 1,520.80, 2,024.01 and 1,520.80 is: 2,024.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.80 : 2,024.01 = 1,520.80 : x
  2. Step 2: Convert to fraction form
    1,520.80/2,024.01 = 1,520.80/x
  3. Step 3: Cross multiply
    1,520.80x = 2,024.01 × 1,520.80
  4. Step 4: Simplify right side
    1,520.80x = 3,078,114.41
  5. Step 5: Solve for x
    x = 3,078,114.41/1,520.80
  6. Step 6: Final answer
    x = 2,024.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.