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Finding the Fourth Proportional to 2,453.76, 3,675.78 and 2,363.58

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Solution

The fourth proportional to 2,453.76, 3,675.78 and 2,363.58 is: 3,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.76 : 3,675.78 = 2,363.58 : x
  2. Step 2: Convert to fraction form
    2,453.76/3,675.78 = 2,363.58/x
  3. Step 3: Cross multiply
    2,453.76x = 3,675.78 × 2,363.58
  4. Step 4: Simplify right side
    2,453.76x = 8,688,000.09
  5. Step 5: Solve for x
    x = 8,688,000.09/2,453.76
  6. Step 6: Final answer
    x = 3,540.69

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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.