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Finding the Fourth Proportional to 2,065.83, 2,850.82 and 1,121.63

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Solution

The fourth proportional to 2,065.83, 2,850.82 and 1,121.63 is: 1,547.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.83 : 2,850.82 = 1,121.63 : x
  2. Step 2: Convert to fraction form
    2,065.83/2,850.82 = 1,121.63/x
  3. Step 3: Cross multiply
    2,065.83x = 2,850.82 × 1,121.63
  4. Step 4: Simplify right side
    2,065.83x = 3,197,548.18
  5. Step 5: Solve for x
    x = 3,197,548.18/2,065.83
  6. Step 6: Final answer
    x = 1,547.83

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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.