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Finding the Fourth Proportional to 1,674.87, 2,310 and 1,563.09

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Solution

The fourth proportional to 1,674.87, 2,310 and 1,563.09 is: 2,155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674.87 : 2,310 = 1,563.09 : x
  2. Step 2: Convert to fraction form
    1,674.87/2,310 = 1,563.09/x
  3. Step 3: Cross multiply
    1,674.87x = 2,310 × 1,563.09
  4. Step 4: Simplify right side
    1,674.87x = 3,610,737.90
  5. Step 5: Solve for x
    x = 3,610,737.90/1,674.87
  6. Step 6: Final answer
    x = 2,155.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.