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Finding the Fourth Proportional to 2,792.34, 3,853.93 and 2,087.72

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Solution

The fourth proportional to 2,792.34, 3,853.93 and 2,087.72 is: 2,881.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,792.34 : 3,853.93 = 2,087.72 : x
  2. Step 2: Convert to fraction form
    2,792.34/3,853.93 = 2,087.72/x
  3. Step 3: Cross multiply
    2,792.34x = 3,853.93 × 2,087.72
  4. Step 4: Simplify right side
    2,792.34x = 8,045,926.74
  5. Step 5: Solve for x
    x = 8,045,926.74/2,792.34
  6. Step 6: Final answer
    x = 2,881.43

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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.