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Finding the Fourth Proportional to 2,087.94, 2,880.05 and 1,291.05

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Solution

The fourth proportional to 2,087.94, 2,880.05 and 1,291.05 is: 1,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.94 : 2,880.05 = 1,291.05 : x
  2. Step 2: Convert to fraction form
    2,087.94/2,880.05 = 1,291.05/x
  3. Step 3: Cross multiply
    2,087.94x = 2,880.05 × 1,291.05
  4. Step 4: Simplify right side
    2,087.94x = 3,718,282.10
  5. Step 5: Solve for x
    x = 3,718,282.10/2,087.94
  6. Step 6: Final answer
    x = 1,780.84

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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.