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Finding the Fourth Proportional to 1,540.53, 2,310.23 and 500.27

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Solution

The fourth proportional to 1,540.53, 2,310.23 and 500.27 is: 750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540.53 : 2,310.23 = 500.27 : x
  2. Step 2: Convert to fraction form
    1,540.53/2,310.23 = 500.27/x
  3. Step 3: Cross multiply
    1,540.53x = 2,310.23 × 500.27
  4. Step 4: Simplify right side
    1,540.53x = 1,155,724.71
  5. Step 5: Solve for x
    x = 1,155,724.71/1,540.53
  6. Step 6: Final answer
    x = 750.21

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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.