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Finding the Fourth Proportional to 2,642.90, 3,964.93 and 888.12

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Solution

The fourth proportional to 2,642.90, 3,964.93 and 888.12 is: 1,332.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,642.90 : 3,964.93 = 888.12 : x
  2. Step 2: Convert to fraction form
    2,642.90/3,964.93 = 888.12/x
  3. Step 3: Cross multiply
    2,642.90x = 3,964.93 × 888.12
  4. Step 4: Simplify right side
    2,642.90x = 3,521,331.41
  5. Step 5: Solve for x
    x = 3,521,331.41/2,642.90
  6. Step 6: Final answer
    x = 1,332.38

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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.