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Finding the Fourth Proportional to 2,380.58, 3,568.13 and 1,209.93

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Solution

The fourth proportional to 2,380.58, 3,568.13 and 1,209.93 is: 1,813.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380.58 : 3,568.13 = 1,209.93 : x
  2. Step 2: Convert to fraction form
    2,380.58/3,568.13 = 1,209.93/x
  3. Step 3: Cross multiply
    2,380.58x = 3,568.13 × 1,209.93
  4. Step 4: Simplify right side
    2,380.58x = 4,317,187.53
  5. Step 5: Solve for x
    x = 4,317,187.53/2,380.58
  6. Step 6: Final answer
    x = 1,813.50

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Why These Related Problems?

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