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Finding the Fourth Proportional to 2,087.46, 2,880.45 and 1,203.30

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Solution

The fourth proportional to 2,087.46, 2,880.45 and 1,203.30 is: 1,660.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.46 : 2,880.45 = 1,203.30 : x
  2. Step 2: Convert to fraction form
    2,087.46/2,880.45 = 1,203.30/x
  3. Step 3: Cross multiply
    2,087.46x = 2,880.45 × 1,203.30
  4. Step 4: Simplify right side
    2,087.46x = 3,466,045.49
  5. Step 5: Solve for x
    x = 3,466,045.49/2,087.46
  6. Step 6: Final answer
    x = 1,660.41

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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.