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Finding the Fourth Proportional to 2,797.02, 3,860.46 and 1,618.74

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Solution

The fourth proportional to 2,797.02, 3,860.46 and 1,618.74 is: 2,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.02 : 3,860.46 = 1,618.74 : x
  2. Step 2: Convert to fraction form
    2,797.02/3,860.46 = 1,618.74/x
  3. Step 3: Cross multiply
    2,797.02x = 3,860.46 × 1,618.74
  4. Step 4: Simplify right side
    2,797.02x = 6,249,081.02
  5. Step 5: Solve for x
    x = 6,249,081.02/2,797.02
  6. Step 6: Final answer
    x = 2,234.19

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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.