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Finding the Fourth Proportional to 2,203.96, 3,305.94 and 560.50

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Solution

The fourth proportional to 2,203.96, 3,305.94 and 560.50 is: 840.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.96 : 3,305.94 = 560.50 : x
  2. Step 2: Convert to fraction form
    2,203.96/3,305.94 = 560.50/x
  3. Step 3: Cross multiply
    2,203.96x = 3,305.94 × 560.50
  4. Step 4: Simplify right side
    2,203.96x = 1,852,979.37
  5. Step 5: Solve for x
    x = 1,852,979.37/2,203.96
  6. Step 6: Final answer
    x = 840.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.