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Finding the Fourth Proportional to 2,527.16, 3,792.47 and 883.71

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Solution

The fourth proportional to 2,527.16, 3,792.47 and 883.71 is: 1,326.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527.16 : 3,792.47 = 883.71 : x
  2. Step 2: Convert to fraction form
    2,527.16/3,792.47 = 883.71/x
  3. Step 3: Cross multiply
    2,527.16x = 3,792.47 × 883.71
  4. Step 4: Simplify right side
    2,527.16x = 3,351,424.70
  5. Step 5: Solve for x
    x = 3,351,424.70/2,527.16
  6. Step 6: Final answer
    x = 1,326.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.