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Finding the Fourth Proportional to 2,184.26, 3,275.82 and 1,087.82

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Solution

The fourth proportional to 2,184.26, 3,275.82 and 1,087.82 is: 1,631.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.26 : 3,275.82 = 1,087.82 : x
  2. Step 2: Convert to fraction form
    2,184.26/3,275.82 = 1,087.82/x
  3. Step 3: Cross multiply
    2,184.26x = 3,275.82 × 1,087.82
  4. Step 4: Simplify right side
    2,184.26x = 3,563,502.51
  5. Step 5: Solve for x
    x = 3,563,502.51/2,184.26
  6. Step 6: Final answer
    x = 1,631.45

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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.