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Finding the Fourth Proportional to 2,087.24, 2,880.02 and 1,248.27

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Solution

The fourth proportional to 2,087.24, 2,880.02 and 1,248.27 is: 1,722.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,087.24 : 2,880.02 = 1,248.27 : x
  2. Step 2: Convert to fraction form
    2,087.24/2,880.02 = 1,248.27/x
  3. Step 3: Cross multiply
    2,087.24x = 2,880.02 × 1,248.27
  4. Step 4: Simplify right side
    2,087.24x = 3,595,036.32
  5. Step 5: Solve for x
    x = 3,595,036.32/2,087.24
  6. Step 6: Final answer
    x = 1,722.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.