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Finding the Fourth Proportional to 2,453.75, 3,681.53 and 1,138.13

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Solution

The fourth proportional to 2,453.75, 3,681.53 and 1,138.13 is: 1,707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.75 : 3,681.53 = 1,138.13 : x
  2. Step 2: Convert to fraction form
    2,453.75/3,681.53 = 1,138.13/x
  3. Step 3: Cross multiply
    2,453.75x = 3,681.53 × 1,138.13
  4. Step 4: Simplify right side
    2,453.75x = 4,190,035.64
  5. Step 5: Solve for x
    x = 4,190,035.64/2,453.75
  6. Step 6: Final answer
    x = 1,707.61

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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.