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Finding the Fourth Proportional to 2,018.20, 3,025.86 and 784.58

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Solution

The fourth proportional to 2,018.20, 3,025.86 and 784.58 is: 1,176.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,018.20 : 3,025.86 = 784.58 : x
  2. Step 2: Convert to fraction form
    2,018.20/3,025.86 = 784.58/x
  3. Step 3: Cross multiply
    2,018.20x = 3,025.86 × 784.58
  4. Step 4: Simplify right side
    2,018.20x = 2,374,029.24
  5. Step 5: Solve for x
    x = 2,374,029.24/2,018.20
  6. Step 6: Final answer
    x = 1,176.31

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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.