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Finding the Fourth Proportional to 2,303.20, 3,453.94 and 742.81

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Solution

The fourth proportional to 2,303.20, 3,453.94 and 742.81 is: 1,113.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.20 : 3,453.94 = 742.81 : x
  2. Step 2: Convert to fraction form
    2,303.20/3,453.94 = 742.81/x
  3. Step 3: Cross multiply
    2,303.20x = 3,453.94 × 742.81
  4. Step 4: Simplify right side
    2,303.20x = 2,565,621.17
  5. Step 5: Solve for x
    x = 2,565,621.17/2,303.20
  6. Step 6: Final answer
    x = 1,113.94

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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.