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Finding the Fourth Proportional to 1,563.17, 2,156.99 and 899.91

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Solution

The fourth proportional to 1,563.17, 2,156.99 and 899.91 is: 1,241.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.17 : 2,156.99 = 899.91 : x
  2. Step 2: Convert to fraction form
    1,563.17/2,156.99 = 899.91/x
  3. Step 3: Cross multiply
    1,563.17x = 2,156.99 × 899.91
  4. Step 4: Simplify right side
    1,563.17x = 1,941,092.37
  5. Step 5: Solve for x
    x = 1,941,092.37/1,563.17
  6. Step 6: Final answer
    x = 1,241.77

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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.