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Finding the Fourth Proportional to 2,107.69, 3,159.37 and 875.81

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Solution

The fourth proportional to 2,107.69, 3,159.37 and 875.81 is: 1,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.69 : 3,159.37 = 875.81 : x
  2. Step 2: Convert to fraction form
    2,107.69/3,159.37 = 875.81/x
  3. Step 3: Cross multiply
    2,107.69x = 3,159.37 × 875.81
  4. Step 4: Simplify right side
    2,107.69x = 2,767,016.83
  5. Step 5: Solve for x
    x = 2,767,016.83/2,107.69
  6. Step 6: Final answer
    x = 1,312.82

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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.