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Finding the Fourth Proportional to 2,087.52, 2,882.16 and 1,260

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Solution

The fourth proportional to 2,087.52, 2,882.16 and 1,260 is: 1,739.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.52 : 2,882.16 = 1,260 : x
  2. Step 2: Convert to fraction form
    2,087.52/2,882.16 = 1,260/x
  3. Step 3: Cross multiply
    2,087.52x = 2,882.16 × 1,260
  4. Step 4: Simplify right side
    2,087.52x = 3,631,521.60
  5. Step 5: Solve for x
    x = 3,631,521.60/2,087.52
  6. Step 6: Final answer
    x = 1,739.63

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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.