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Finding the Fourth Proportional to 3,070.44, 4,237.15 and 1,744.13

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Solution

The fourth proportional to 3,070.44, 4,237.15 and 1,744.13 is: 2,406.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.44 : 4,237.15 = 1,744.13 : x
  2. Step 2: Convert to fraction form
    3,070.44/4,237.15 = 1,744.13/x
  3. Step 3: Cross multiply
    3,070.44x = 4,237.15 × 1,744.13
  4. Step 4: Simplify right side
    3,070.44x = 7,390,140.43
  5. Step 5: Solve for x
    x = 7,390,140.43/3,070.44
  6. Step 6: Final answer
    x = 2,406.87

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