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Finding the Fourth Proportional to 2,411.01, 3,616.92 and 1,177.65

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Solution

The fourth proportional to 2,411.01, 3,616.92 and 1,177.65 is: 1,766.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.01 : 3,616.92 = 1,177.65 : x
  2. Step 2: Convert to fraction form
    2,411.01/3,616.92 = 1,177.65/x
  3. Step 3: Cross multiply
    2,411.01x = 3,616.92 × 1,177.65
  4. Step 4: Simplify right side
    2,411.01x = 4,259,465.84
  5. Step 5: Solve for x
    x = 4,259,465.84/2,411.01
  6. Step 6: Final answer
    x = 1,766.67

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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.