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Finding the Fourth Proportional to 3,070, 4,236.78 and 1,743.76

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Solution

The fourth proportional to 3,070, 4,236.78 and 1,743.76 is: 2,406.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070 : 4,236.78 = 1,743.76 : x
  2. Step 2: Convert to fraction form
    3,070/4,236.78 = 1,743.76/x
  3. Step 3: Cross multiply
    3,070x = 4,236.78 × 1,743.76
  4. Step 4: Simplify right side
    3,070x = 7,387,927.49
  5. Step 5: Solve for x
    x = 7,387,927.49/3,070
  6. Step 6: Final answer
    x = 2,406.49

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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.