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Finding the Fourth Proportional to 2,303.52, 3,456.44 and 1,133.47

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Solution

The fourth proportional to 2,303.52, 3,456.44 and 1,133.47 is: 1,700.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,303.52 : 3,456.44 = 1,133.47 : x
  2. Step 2: Convert to fraction form
    2,303.52/3,456.44 = 1,133.47/x
  3. Step 3: Cross multiply
    2,303.52x = 3,456.44 × 1,133.47
  4. Step 4: Simplify right side
    2,303.52x = 3,917,765.38
  5. Step 5: Solve for x
    x = 3,917,765.38/2,303.52
  6. Step 6: Final answer
    x = 1,700.78

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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.