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Finding the Fourth Proportional to 2,285.74, 3,155.79 and 1,867.10

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Solution

The fourth proportional to 2,285.74, 3,155.79 and 1,867.10 is: 2,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.74 : 3,155.79 = 1,867.10 : x
  2. Step 2: Convert to fraction form
    2,285.74/3,155.79 = 1,867.10/x
  3. Step 3: Cross multiply
    2,285.74x = 3,155.79 × 1,867.10
  4. Step 4: Simplify right side
    2,285.74x = 5,892,166.17
  5. Step 5: Solve for x
    x = 5,892,166.17/2,285.74
  6. Step 6: Final answer
    x = 2,577.79

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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.