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Finding the Fourth Proportional to 2,453.24, 3,672.54 and 2,365.76

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Solution

The fourth proportional to 2,453.24, 3,672.54 and 2,365.76 is: 3,541.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.24 : 3,672.54 = 2,365.76 : x
  2. Step 2: Convert to fraction form
    2,453.24/3,672.54 = 2,365.76/x
  3. Step 3: Cross multiply
    2,453.24x = 3,672.54 × 2,365.76
  4. Step 4: Simplify right side
    2,453.24x = 8,688,348.23
  5. Step 5: Solve for x
    x = 8,688,348.23/2,453.24
  6. Step 6: Final answer
    x = 3,541.58

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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.