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Finding the Fourth Proportional to 3,253.76, 4,881.24 and 1,606.22

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Solution

The fourth proportional to 3,253.76, 4,881.24 and 1,606.22 is: 2,409.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,253.76 : 4,881.24 = 1,606.22 : x
  2. Step 2: Convert to fraction form
    3,253.76/4,881.24 = 1,606.22/x
  3. Step 3: Cross multiply
    3,253.76x = 4,881.24 × 1,606.22
  4. Step 4: Simplify right side
    3,253.76x = 7,840,320.91
  5. Step 5: Solve for x
    x = 7,840,320.91/3,253.76
  6. Step 6: Final answer
    x = 2,409.62

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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.