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Finding the Fourth Proportional to 3,060.47, 4,223.16 and 1,733.90

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Solution

The fourth proportional to 3,060.47, 4,223.16 and 1,733.90 is: 2,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,060.47 : 4,223.16 = 1,733.90 : x
  2. Step 2: Convert to fraction form
    3,060.47/4,223.16 = 1,733.90/x
  3. Step 3: Cross multiply
    3,060.47x = 4,223.16 × 1,733.90
  4. Step 4: Simplify right side
    3,060.47x = 7,322,537.12
  5. Step 5: Solve for x
    x = 7,322,537.12/3,060.47
  6. Step 6: Final answer
    x = 2,392.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.