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Finding the Fourth Proportional to 2,453.74, 3,681.52 and 1,138.12

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Solution

The fourth proportional to 2,453.74, 3,681.52 and 1,138.12 is: 1,707.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.74 : 3,681.52 = 1,138.12 : x
  2. Step 2: Convert to fraction form
    2,453.74/3,681.52 = 1,138.12/x
  3. Step 3: Cross multiply
    2,453.74x = 3,681.52 × 1,138.12
  4. Step 4: Simplify right side
    2,453.74x = 4,190,011.54
  5. Step 5: Solve for x
    x = 4,190,011.54/2,453.74
  6. Step 6: Final answer
    x = 1,707.60

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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.