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Finding the Fourth Proportional to 2,285.84, 3,155.08 and 1,499.60

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Solution

The fourth proportional to 2,285.84, 3,155.08 and 1,499.60 is: 2,069.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,285.84 : 3,155.08 = 1,499.60 : x
  2. Step 2: Convert to fraction form
    2,285.84/3,155.08 = 1,499.60/x
  3. Step 3: Cross multiply
    2,285.84x = 3,155.08 × 1,499.60
  4. Step 4: Simplify right side
    2,285.84x = 4,731,357.97
  5. Step 5: Solve for x
    x = 4,731,357.97/2,285.84
  6. Step 6: Final answer
    x = 2,069.86

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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.