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Finding the Fourth Proportional to 2,502.44, 3,752.38 and 1,462.67

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Solution

The fourth proportional to 2,502.44, 3,752.38 and 1,462.67 is: 2,193.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.44 : 3,752.38 = 1,462.67 : x
  2. Step 2: Convert to fraction form
    2,502.44/3,752.38 = 1,462.67/x
  3. Step 3: Cross multiply
    2,502.44x = 3,752.38 × 1,462.67
  4. Step 4: Simplify right side
    2,502.44x = 5,488,486.34
  5. Step 5: Solve for x
    x = 5,488,486.34/2,502.44
  6. Step 6: Final answer
    x = 2,193.25

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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.