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Finding the Fourth Proportional to 3,070.86, 4,237.62 and 1,744.38

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Solution

The fourth proportional to 3,070.86, 4,237.62 and 1,744.38 is: 2,407.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.86 : 4,237.62 = 1,744.38 : x
  2. Step 2: Convert to fraction form
    3,070.86/4,237.62 = 1,744.38/x
  3. Step 3: Cross multiply
    3,070.86x = 4,237.62 × 1,744.38
  4. Step 4: Simplify right side
    3,070.86x = 7,392,019.58
  5. Step 5: Solve for x
    x = 7,392,019.58/3,070.86
  6. Step 6: Final answer
    x = 2,407.15

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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.