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Finding the Fourth Proportional to 2,605.83, 3,908.10 and 1,288.95

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Solution

The fourth proportional to 2,605.83, 3,908.10 and 1,288.95 is: 1,933.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.83 : 3,908.10 = 1,288.95 : x
  2. Step 2: Convert to fraction form
    2,605.83/3,908.10 = 1,288.95/x
  3. Step 3: Cross multiply
    2,605.83x = 3,908.10 × 1,288.95
  4. Step 4: Simplify right side
    2,605.83x = 5,037,345.50
  5. Step 5: Solve for x
    x = 5,037,345.50/2,605.83
  6. Step 6: Final answer
    x = 1,933.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.