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Finding the Fourth Proportional to 1,514.68, 2,255.26 and 1,424.50

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Solution

The fourth proportional to 1,514.68, 2,255.26 and 1,424.50 is: 2,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.68 : 2,255.26 = 1,424.50 : x
  2. Step 2: Convert to fraction form
    1,514.68/2,255.26 = 1,424.50/x
  3. Step 3: Cross multiply
    1,514.68x = 2,255.26 × 1,424.50
  4. Step 4: Simplify right side
    1,514.68x = 3,212,617.87
  5. Step 5: Solve for x
    x = 3,212,617.87/1,514.68
  6. Step 6: Final answer
    x = 2,120.99

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.