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Finding the Fourth Proportional to 2,203.47, 3,303.72 and 1,162.37

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Solution

The fourth proportional to 2,203.47, 3,303.72 and 1,162.37 is: 1,742.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.47 : 3,303.72 = 1,162.37 : x
  2. Step 2: Convert to fraction form
    2,203.47/3,303.72 = 1,162.37/x
  3. Step 3: Cross multiply
    2,203.47x = 3,303.72 × 1,162.37
  4. Step 4: Simplify right side
    2,203.47x = 3,840,145.02
  5. Step 5: Solve for x
    x = 3,840,145.02/2,203.47
  6. Step 6: Final answer
    x = 1,742.77

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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.