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Finding the Fourth Proportional to 2,527.81, 3,772.58 and 2,383.83

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Solution

The fourth proportional to 2,527.81, 3,772.58 and 2,383.83 is: 3,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.81 : 3,772.58 = 2,383.83 : x
  2. Step 2: Convert to fraction form
    2,527.81/3,772.58 = 2,383.83/x
  3. Step 3: Cross multiply
    2,527.81x = 3,772.58 × 2,383.83
  4. Step 4: Simplify right side
    2,527.81x = 8,993,177.46
  5. Step 5: Solve for x
    x = 8,993,177.46/2,527.81
  6. Step 6: Final answer
    x = 3,557.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.