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Finding the Fourth Proportional to 2,107.71, 3,159.72 and 874.35

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Solution

The fourth proportional to 2,107.71, 3,159.72 and 874.35 is: 1,310.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.71 : 3,159.72 = 874.35 : x
  2. Step 2: Convert to fraction form
    2,107.71/3,159.72 = 874.35/x
  3. Step 3: Cross multiply
    2,107.71x = 3,159.72 × 874.35
  4. Step 4: Simplify right side
    2,107.71x = 2,762,701.18
  5. Step 5: Solve for x
    x = 2,762,701.18/2,107.71
  6. Step 6: Final answer
    x = 1,310.76

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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.