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Finding the Fourth Proportional to 2,885.82, 4,322.71 and 2,678.27

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Solution

The fourth proportional to 2,885.82, 4,322.71 and 2,678.27 is: 4,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,885.82 : 4,322.71 = 2,678.27 : x
  2. Step 2: Convert to fraction form
    2,885.82/4,322.71 = 2,678.27/x
  3. Step 3: Cross multiply
    2,885.82x = 4,322.71 × 2,678.27
  4. Step 4: Simplify right side
    2,885.82x = 11,577,384.51
  5. Step 5: Solve for x
    x = 11,577,384.51/2,885.82
  6. Step 6: Final answer
    x = 4,011.82

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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.