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Finding the Fourth Proportional to 2,203.60, 3,305.38 and 560.13

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Solution

The fourth proportional to 2,203.60, 3,305.38 and 560.13 is: 840.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.60 : 3,305.38 = 560.13 : x
  2. Step 2: Convert to fraction form
    2,203.60/3,305.38 = 560.13/x
  3. Step 3: Cross multiply
    2,203.60x = 3,305.38 × 560.13
  4. Step 4: Simplify right side
    2,203.60x = 1,851,442.50
  5. Step 5: Solve for x
    x = 1,851,442.50/2,203.60
  6. Step 6: Final answer
    x = 840.19

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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.