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Finding the Fourth Proportional to 2,453.92, 3,677.30 and 1,138.08

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Solution

The fourth proportional to 2,453.92, 3,677.30 and 1,138.08 is: 1,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,453.92 : 3,677.30 = 1,138.08 : x
  2. Step 2: Convert to fraction form
    2,453.92/3,677.30 = 1,138.08/x
  3. Step 3: Cross multiply
    2,453.92x = 3,677.30 × 1,138.08
  4. Step 4: Simplify right side
    2,453.92x = 4,185,037.51
  5. Step 5: Solve for x
    x = 4,185,037.51/2,453.92
  6. Step 6: Final answer
    x = 1,705.45

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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.