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Finding the Fourth Proportional to 2,441.43, 3,654.95 and 1,514.00

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Solution

The fourth proportional to 2,441.43, 3,654.95 and 1,514.00 is: 2,266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,441.43 : 3,654.95 = 1,514.00 : x
  2. Step 2: Convert to fraction form
    2,441.43/3,654.95 = 1,514.00/x
  3. Step 3: Cross multiply
    2,441.43x = 3,654.95 × 1,514.00
  4. Step 4: Simplify right side
    2,441.43x = 5,533,595.87
  5. Step 5: Solve for x
    x = 5,533,595.87/2,441.43
  6. Step 6: Final answer
    x = 2,266.54

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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.