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Finding the Fourth Proportional to 2,083.40, 2,860.04 and 1,788.15

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Solution

The fourth proportional to 2,083.40, 2,860.04 and 1,788.15 is: 2,454.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083.40 : 2,860.04 = 1,788.15 : x
  2. Step 2: Convert to fraction form
    2,083.40/2,860.04 = 1,788.15/x
  3. Step 3: Cross multiply
    2,083.40x = 2,860.04 × 1,788.15
  4. Step 4: Simplify right side
    2,083.40x = 5,114,180.53
  5. Step 5: Solve for x
    x = 5,114,180.53/2,083.40
  6. Step 6: Final answer
    x = 2,454.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.