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Finding the Fourth Proportional to 2,780.78, 3,833.48 and 1,717.83

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Solution

The fourth proportional to 2,780.78, 3,833.48 and 1,717.83 is: 2,368.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,780.78 : 3,833.48 = 1,717.83 : x
  2. Step 2: Convert to fraction form
    2,780.78/3,833.48 = 1,717.83/x
  3. Step 3: Cross multiply
    2,780.78x = 3,833.48 × 1,717.83
  4. Step 4: Simplify right side
    2,780.78x = 6,585,271.24
  5. Step 5: Solve for x
    x = 6,585,271.24/2,780.78
  6. Step 6: Final answer
    x = 2,368.14

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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.