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Finding the Fourth Proportional to 2,604.71, 3,907.06 and 656.92

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Solution

The fourth proportional to 2,604.71, 3,907.06 and 656.92 is: 985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,604.71 : 3,907.06 = 656.92 : x
  2. Step 2: Convert to fraction form
    2,604.71/3,907.06 = 656.92/x
  3. Step 3: Cross multiply
    2,604.71x = 3,907.06 × 656.92
  4. Step 4: Simplify right side
    2,604.71x = 2,566,603.04
  5. Step 5: Solve for x
    x = 2,566,603.04/2,604.71
  6. Step 6: Final answer
    x = 985.37

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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.