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Finding the Fourth Proportional to 2,107.44, 3,159.81 and 875.70

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Solution

The fourth proportional to 2,107.44, 3,159.81 and 875.70 is: 1,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.44 : 3,159.81 = 875.70 : x
  2. Step 2: Convert to fraction form
    2,107.44/3,159.81 = 875.70/x
  3. Step 3: Cross multiply
    2,107.44x = 3,159.81 × 875.70
  4. Step 4: Simplify right side
    2,107.44x = 2,767,045.62
  5. Step 5: Solve for x
    x = 2,767,045.62/2,107.44
  6. Step 6: Final answer
    x = 1,312.99

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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.