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Finding the Fourth Proportional to 2,767.76, 3,818.40 and 2,546.72

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Solution

The fourth proportional to 2,767.76, 3,818.40 and 2,546.72 is: 3,513.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,767.76 : 3,818.40 = 2,546.72 : x
  2. Step 2: Convert to fraction form
    2,767.76/3,818.40 = 2,546.72/x
  3. Step 3: Cross multiply
    2,767.76x = 3,818.40 × 2,546.72
  4. Step 4: Simplify right side
    2,767.76x = 9,724,395.65
  5. Step 5: Solve for x
    x = 9,724,395.65/2,767.76
  6. Step 6: Final answer
    x = 3,513.45

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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.