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Finding the Fourth Proportional to 2,527.70, 3,488 and 1,479.84

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Solution

The fourth proportional to 2,527.70, 3,488 and 1,479.84 is: 2,042.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.70 : 3,488 = 1,479.84 : x
  2. Step 2: Convert to fraction form
    2,527.70/3,488 = 1,479.84/x
  3. Step 3: Cross multiply
    2,527.70x = 3,488 × 1,479.84
  4. Step 4: Simplify right side
    2,527.70x = 5,161,681.92
  5. Step 5: Solve for x
    x = 5,161,681.92/2,527.70
  6. Step 6: Final answer
    x = 2,042.05

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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.