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Finding the Fourth Proportional to 1,612.24, 2,224.90 and 913.56

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Solution

The fourth proportional to 1,612.24, 2,224.90 and 913.56 is: 1,260.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,612.24 : 2,224.90 = 913.56 : x
  2. Step 2: Convert to fraction form
    1,612.24/2,224.90 = 913.56/x
  3. Step 3: Cross multiply
    1,612.24x = 2,224.90 × 913.56
  4. Step 4: Simplify right side
    1,612.24x = 2,032,579.64
  5. Step 5: Solve for x
    x = 2,032,579.64/1,612.24
  6. Step 6: Final answer
    x = 1,260.72

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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.