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Finding the Fourth Proportional to 1,514.73, 2,272.53 and 1,253.52

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Solution

The fourth proportional to 1,514.73, 2,272.53 and 1,253.52 is: 1,880.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.73 : 2,272.53 = 1,253.52 : x
  2. Step 2: Convert to fraction form
    1,514.73/2,272.53 = 1,253.52/x
  3. Step 3: Cross multiply
    1,514.73x = 2,272.53 × 1,253.52
  4. Step 4: Simplify right side
    1,514.73x = 2,848,661.81
  5. Step 5: Solve for x
    x = 2,848,661.81/1,514.73
  6. Step 6: Final answer
    x = 1,880.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.