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Finding the Fourth Proportional to 2,087.54, 2,880.10 and 1,203.32

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Solution

The fourth proportional to 2,087.54, 2,880.10 and 1,203.32 is: 1,660.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.54 : 2,880.10 = 1,203.32 : x
  2. Step 2: Convert to fraction form
    2,087.54/2,880.10 = 1,203.32/x
  3. Step 3: Cross multiply
    2,087.54x = 2,880.10 × 1,203.32
  4. Step 4: Simplify right side
    2,087.54x = 3,465,692.14
  5. Step 5: Solve for x
    x = 3,465,692.14/2,087.54
  6. Step 6: Final answer
    x = 1,660.18

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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.