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Finding the Fourth Proportional to 2,383.86, 3,282.93 and 2,145.78

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Solution

The fourth proportional to 2,383.86, 3,282.93 and 2,145.78 is: 2,955.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,383.86 : 3,282.93 = 2,145.78 : x
  2. Step 2: Convert to fraction form
    2,383.86/3,282.93 = 2,145.78/x
  3. Step 3: Cross multiply
    2,383.86x = 3,282.93 × 2,145.78
  4. Step 4: Simplify right side
    2,383.86x = 7,044,445.54
  5. Step 5: Solve for x
    x = 7,044,445.54/2,383.86
  6. Step 6: Final answer
    x = 2,955.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.