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Finding the Fourth Proportional to 2,047.98, 2,823 and 1,878.48

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Solution

The fourth proportional to 2,047.98, 2,823 and 1,878.48 is: 2,589.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,047.98 : 2,823 = 1,878.48 : x
  2. Step 2: Convert to fraction form
    2,047.98/2,823 = 1,878.48/x
  3. Step 3: Cross multiply
    2,047.98x = 2,823 × 1,878.48
  4. Step 4: Simplify right side
    2,047.98x = 5,302,949.04
  5. Step 5: Solve for x
    x = 5,302,949.04/2,047.98
  6. Step 6: Final answer
    x = 2,589.36

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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.