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Finding the Fourth Proportional to 2,050.68, 2,830.17 and 1,166.66

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Solution

The fourth proportional to 2,050.68, 2,830.17 and 1,166.66 is: 1,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.68 : 2,830.17 = 1,166.66 : x
  2. Step 2: Convert to fraction form
    2,050.68/2,830.17 = 1,166.66/x
  3. Step 3: Cross multiply
    2,050.68x = 2,830.17 × 1,166.66
  4. Step 4: Simplify right side
    2,050.68x = 3,301,846.13
  5. Step 5: Solve for x
    x = 3,301,846.13/2,050.68
  6. Step 6: Final answer
    x = 1,610.12

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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.