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Finding the Fourth Proportional to 1,514.49, 2,084.49 and 1,458.60

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Solution

The fourth proportional to 1,514.49, 2,084.49 and 1,458.60 is: 2,007.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,514.49 : 2,084.49 = 1,458.60 : x
  2. Step 2: Convert to fraction form
    1,514.49/2,084.49 = 1,458.60/x
  3. Step 3: Cross multiply
    1,514.49x = 2,084.49 × 1,458.60
  4. Step 4: Simplify right side
    1,514.49x = 3,040,437.11
  5. Step 5: Solve for x
    x = 3,040,437.11/1,514.49
  6. Step 6: Final answer
    x = 2,007.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.