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Finding the Fourth Proportional to 2,527.63, 3,488.13 and 1,519.18

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Solution

The fourth proportional to 2,527.63, 3,488.13 and 1,519.18 is: 2,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.63 : 3,488.13 = 1,519.18 : x
  2. Step 2: Convert to fraction form
    2,527.63/3,488.13 = 1,519.18/x
  3. Step 3: Cross multiply
    2,527.63x = 3,488.13 × 1,519.18
  4. Step 4: Simplify right side
    2,527.63x = 5,299,088.61
  5. Step 5: Solve for x
    x = 5,299,088.61/2,527.63
  6. Step 6: Final answer
    x = 2,096.47

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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.