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Finding the Fourth Proportional to 2,298.75, 3,446.78 and 1,559.30

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Solution

The fourth proportional to 2,298.75, 3,446.78 and 1,559.30 is: 2,338.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.75 : 3,446.78 = 1,559.30 : x
  2. Step 2: Convert to fraction form
    2,298.75/3,446.78 = 1,559.30/x
  3. Step 3: Cross multiply
    2,298.75x = 3,446.78 × 1,559.30
  4. Step 4: Simplify right side
    2,298.75x = 5,374,539.02
  5. Step 5: Solve for x
    x = 5,374,539.02/2,298.75
  6. Step 6: Final answer
    x = 2,338.03

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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.