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Finding the Fourth Proportional to 2,298.96, 3,427.84 and 2,257.50

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Solution

The fourth proportional to 2,298.96, 3,427.84 and 2,257.50 is: 3,366.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,298.96 : 3,427.84 = 2,257.50 : x
  2. Step 2: Convert to fraction form
    2,298.96/3,427.84 = 2,257.50/x
  3. Step 3: Cross multiply
    2,298.96x = 3,427.84 × 2,257.50
  4. Step 4: Simplify right side
    2,298.96x = 7,738,348.80
  5. Step 5: Solve for x
    x = 7,738,348.80/2,298.96
  6. Step 6: Final answer
    x = 3,366.02

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.