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Finding the Fourth Proportional to 3,203.86, 4,807.16 and 1,560.42

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Solution

The fourth proportional to 3,203.86, 4,807.16 and 1,560.42 is: 2,341.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.86 : 4,807.16 = 1,560.42 : x
  2. Step 2: Convert to fraction form
    3,203.86/4,807.16 = 1,560.42/x
  3. Step 3: Cross multiply
    3,203.86x = 4,807.16 × 1,560.42
  4. Step 4: Simplify right side
    3,203.86x = 7,501,188.61
  5. Step 5: Solve for x
    x = 7,501,188.61/3,203.86
  6. Step 6: Final answer
    x = 2,341.30

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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.