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Finding the Fourth Proportional to 3,203.76, 4,803.48 and 1,558.92

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Solution

The fourth proportional to 3,203.76, 4,803.48 and 1,558.92 is: 2,337.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,203.76 : 4,803.48 = 1,558.92 : x
  2. Step 2: Convert to fraction form
    3,203.76/4,803.48 = 1,558.92/x
  3. Step 3: Cross multiply
    3,203.76x = 4,803.48 × 1,558.92
  4. Step 4: Simplify right side
    3,203.76x = 7,488,241.04
  5. Step 5: Solve for x
    x = 7,488,241.04/3,203.76
  6. Step 6: Final answer
    x = 2,337.33

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1.5x scale

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.