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Finding the Fourth Proportional to 2,078.88, 3,118.49 and 618.03

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Solution

The fourth proportional to 2,078.88, 3,118.49 and 618.03 is: 927.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,078.88 : 3,118.49 = 618.03 : x
  2. Step 2: Convert to fraction form
    2,078.88/3,118.49 = 618.03/x
  3. Step 3: Cross multiply
    2,078.88x = 3,118.49 × 618.03
  4. Step 4: Simplify right side
    2,078.88x = 1,927,320.37
  5. Step 5: Solve for x
    x = 1,927,320.37/2,078.88
  6. Step 6: Final answer
    x = 927.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.