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Finding the Fourth Proportional to 2,514.55, 3,470.18 and 1,519.64

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Solution

The fourth proportional to 2,514.55, 3,470.18 and 1,519.64 is: 2,097.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.55 : 3,470.18 = 1,519.64 : x
  2. Step 2: Convert to fraction form
    2,514.55/3,470.18 = 1,519.64/x
  3. Step 3: Cross multiply
    2,514.55x = 3,470.18 × 1,519.64
  4. Step 4: Simplify right side
    2,514.55x = 5,273,406.98
  5. Step 5: Solve for x
    x = 5,273,406.98/2,514.55
  6. Step 6: Final answer
    x = 2,097.16

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