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Finding the Fourth Proportional to 1,523.40, 2,282.40 and 1,249.08

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Solution

The fourth proportional to 1,523.40, 2,282.40 and 1,249.08 is: 1,871.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.40 : 2,282.40 = 1,249.08 : x
  2. Step 2: Convert to fraction form
    1,523.40/2,282.40 = 1,249.08/x
  3. Step 3: Cross multiply
    1,523.40x = 2,282.40 × 1,249.08
  4. Step 4: Simplify right side
    1,523.40x = 2,850,900.19
  5. Step 5: Solve for x
    x = 2,850,900.19/1,523.40
  6. Step 6: Final answer
    x = 1,871.41

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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.