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Finding the Fourth Proportional to 2,115.83, 2,920.04 and 1,171.85

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Solution

The fourth proportional to 2,115.83, 2,920.04 and 1,171.85 is: 1,617.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.83 : 2,920.04 = 1,171.85 : x
  2. Step 2: Convert to fraction form
    2,115.83/2,920.04 = 1,171.85/x
  3. Step 3: Cross multiply
    2,115.83x = 2,920.04 × 1,171.85
  4. Step 4: Simplify right side
    2,115.83x = 3,421,828.41
  5. Step 5: Solve for x
    x = 3,421,828.41/2,115.83
  6. Step 6: Final answer
    x = 1,617.25

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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.