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Finding the Fourth Proportional to 2,184.96, 3,275.54 and 1,087.80

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Solution

The fourth proportional to 2,184.96, 3,275.54 and 1,087.80 is: 1,630.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,184.96 : 3,275.54 = 1,087.80 : x
  2. Step 2: Convert to fraction form
    2,184.96/3,275.54 = 1,087.80/x
  3. Step 3: Cross multiply
    2,184.96x = 3,275.54 × 1,087.80
  4. Step 4: Simplify right side
    2,184.96x = 3,563,132.41
  5. Step 5: Solve for x
    x = 3,563,132.41/2,184.96
  6. Step 6: Final answer
    x = 1,630.75

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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.