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Finding the Fourth Proportional to 3,070, 4,612.26 and 1,772.38

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Solution

The fourth proportional to 3,070, 4,612.26 and 1,772.38 is: 2,662.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070 : 4,612.26 = 1,772.38 : x
  2. Step 2: Convert to fraction form
    3,070/4,612.26 = 1,772.38/x
  3. Step 3: Cross multiply
    3,070x = 4,612.26 × 1,772.38
  4. Step 4: Simplify right side
    3,070x = 8,174,677.38
  5. Step 5: Solve for x
    x = 8,174,677.38/3,070
  6. Step 6: Final answer
    x = 2,662.76

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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.