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Finding the Fourth Proportional to 3,064.50, 4,594.59 and 1,604.66

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Solution

The fourth proportional to 3,064.50, 4,594.59 and 1,604.66 is: 2,405.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,064.50 : 4,594.59 = 1,604.66 : x
  2. Step 2: Convert to fraction form
    3,064.50/4,594.59 = 1,604.66/x
  3. Step 3: Cross multiply
    3,064.50x = 4,594.59 × 1,604.66
  4. Step 4: Simplify right side
    3,064.50x = 7,372,731.82
  5. Step 5: Solve for x
    x = 7,372,731.82/3,064.50
  6. Step 6: Final answer
    x = 2,405.85

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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.