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Finding the Fourth Proportional to 2,527.68, 3,792.81 and 1,048.02

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Solution

The fourth proportional to 2,527.68, 3,792.81 and 1,048.02 is: 1,572.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.68 : 3,792.81 = 1,048.02 : x
  2. Step 2: Convert to fraction form
    2,527.68/3,792.81 = 1,048.02/x
  3. Step 3: Cross multiply
    2,527.68x = 3,792.81 × 1,048.02
  4. Step 4: Simplify right side
    2,527.68x = 3,974,940.74
  5. Step 5: Solve for x
    x = 3,974,940.74/2,527.68
  6. Step 6: Final answer
    x = 1,572.56

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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.