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Finding the Fourth Proportional to 2,065.66, 3,083.46 and 1,913.38

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Solution

The fourth proportional to 2,065.66, 3,083.46 and 1,913.38 is: 2,856.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.66 : 3,083.46 = 1,913.38 : x
  2. Step 2: Convert to fraction form
    2,065.66/3,083.46 = 1,913.38/x
  3. Step 3: Cross multiply
    2,065.66x = 3,083.46 × 1,913.38
  4. Step 4: Simplify right side
    2,065.66x = 5,899,830.69
  5. Step 5: Solve for x
    x = 5,899,830.69/2,065.66
  6. Step 6: Final answer
    x = 2,856.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.