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Finding the Fourth Proportional to 2,065.68, 3,083.67 and 1,770

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Solution

The fourth proportional to 2,065.68, 3,083.67 and 1,770 is: 2,642.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.68 : 3,083.67 = 1,770 : x
  2. Step 2: Convert to fraction form
    2,065.68/3,083.67 = 1,770/x
  3. Step 3: Cross multiply
    2,065.68x = 3,083.67 × 1,770
  4. Step 4: Simplify right side
    2,065.68x = 5,458,095.90
  5. Step 5: Solve for x
    x = 5,458,095.90/2,065.68
  6. Step 6: Final answer
    x = 2,642.28

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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.