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Finding the Fourth Proportional to 1,527.81, 2,293.61 and 1,520.79

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Solution

The fourth proportional to 1,527.81, 2,293.61 and 1,520.79 is: 2,283.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,527.81 : 2,293.61 = 1,520.79 : x
  2. Step 2: Convert to fraction form
    1,527.81/2,293.61 = 1,520.79/x
  3. Step 3: Cross multiply
    1,527.81x = 2,293.61 × 1,520.79
  4. Step 4: Simplify right side
    1,527.81x = 3,488,099.15
  5. Step 5: Solve for x
    x = 3,488,099.15/1,527.81
  6. Step 6: Final answer
    x = 2,283.07

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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.