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Finding the Fourth Proportional to 2,203.64, 3,305.46 and 560.32

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Solution

The fourth proportional to 2,203.64, 3,305.46 and 560.32 is: 840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.64 : 3,305.46 = 560.32 : x
  2. Step 2: Convert to fraction form
    2,203.64/3,305.46 = 560.32/x
  3. Step 3: Cross multiply
    2,203.64x = 3,305.46 × 560.32
  4. Step 4: Simplify right side
    2,203.64x = 1,852,115.35
  5. Step 5: Solve for x
    x = 1,852,115.35/2,203.64
  6. Step 6: Final answer
    x = 840.48

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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.