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Finding the Fourth Proportional to 1,563.39, 2,156.90 and 933.62

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Solution

The fourth proportional to 1,563.39, 2,156.90 and 933.62 is: 1,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.39 : 2,156.90 = 933.62 : x
  2. Step 2: Convert to fraction form
    1,563.39/2,156.90 = 933.62/x
  3. Step 3: Cross multiply
    1,563.39x = 2,156.90 × 933.62
  4. Step 4: Simplify right side
    1,563.39x = 2,013,709.53
  5. Step 5: Solve for x
    x = 2,013,709.53/1,563.39
  6. Step 6: Final answer
    x = 1,288.04

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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.