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Finding the Fourth Proportional to 2,050.99, 2,830.23 and 1,166.78

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Solution

The fourth proportional to 2,050.99, 2,830.23 and 1,166.78 is: 1,610.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,050.99 : 2,830.23 = 1,166.78 : x
  2. Step 2: Convert to fraction form
    2,050.99/2,830.23 = 1,166.78/x
  3. Step 3: Cross multiply
    2,050.99x = 2,830.23 × 1,166.78
  4. Step 4: Simplify right side
    2,050.99x = 3,302,262.83
  5. Step 5: Solve for x
    x = 3,302,262.83/2,050.99
  6. Step 6: Final answer
    x = 1,610.08

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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.