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Finding the Fourth Proportional to 1,563.17, 2,156.81 and 933.90

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Solution

The fourth proportional to 1,563.17, 2,156.81 and 933.90 is: 1,288.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.17 : 2,156.81 = 933.90 : x
  2. Step 2: Convert to fraction form
    1,563.17/2,156.81 = 933.90/x
  3. Step 3: Cross multiply
    1,563.17x = 2,156.81 × 933.90
  4. Step 4: Simplify right side
    1,563.17x = 2,014,244.86
  5. Step 5: Solve for x
    x = 2,014,244.86/1,563.17
  6. Step 6: Final answer
    x = 1,288.56

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