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Finding the Fourth Proportional to 2,604.48, 3,906.72 and 1,065.52

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Solution

The fourth proportional to 2,604.48, 3,906.72 and 1,065.52 is: 1,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.48 : 3,906.72 = 1,065.52 : x
  2. Step 2: Convert to fraction form
    2,604.48/3,906.72 = 1,065.52/x
  3. Step 3: Cross multiply
    2,604.48x = 3,906.72 × 1,065.52
  4. Step 4: Simplify right side
    2,604.48x = 4,162,688.29
  5. Step 5: Solve for x
    x = 4,162,688.29/2,604.48
  6. Step 6: Final answer
    x = 1,598.28

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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.