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Finding the Fourth Proportional to 2,107.18, 3,160.80 and 874.29

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Solution

The fourth proportional to 2,107.18, 3,160.80 and 874.29 is: 1,311.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.18 : 3,160.80 = 874.29 : x
  2. Step 2: Convert to fraction form
    2,107.18/3,160.80 = 874.29/x
  3. Step 3: Cross multiply
    2,107.18x = 3,160.80 × 874.29
  4. Step 4: Simplify right side
    2,107.18x = 2,763,455.83
  5. Step 5: Solve for x
    x = 2,763,455.83/2,107.18
  6. Step 6: Final answer
    x = 1,311.45

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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.