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Finding the Fourth Proportional to 1,523.55, 2,021.10 and 1,523.55

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Solution

The fourth proportional to 1,523.55, 2,021.10 and 1,523.55 is: 2,021.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.55 : 2,021.10 = 1,523.55 : x
  2. Step 2: Convert to fraction form
    1,523.55/2,021.10 = 1,523.55/x
  3. Step 3: Cross multiply
    1,523.55x = 2,021.10 × 1,523.55
  4. Step 4: Simplify right side
    1,523.55x = 3,079,246.91
  5. Step 5: Solve for x
    x = 3,079,246.91/1,523.55
  6. Step 6: Final answer
    x = 2,021.10

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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.