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Finding the Fourth Proportional to 3,070.22, 4,237.02 and 1,743.98

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Solution

The fourth proportional to 3,070.22, 4,237.02 and 1,743.98 is: 2,406.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.22 : 4,237.02 = 1,743.98 : x
  2. Step 2: Convert to fraction form
    3,070.22/4,237.02 = 1,743.98/x
  3. Step 3: Cross multiply
    3,070.22x = 4,237.02 × 1,743.98
  4. Step 4: Simplify right side
    3,070.22x = 7,389,278.14
  5. Step 5: Solve for x
    x = 7,389,278.14/3,070.22
  6. Step 6: Final answer
    x = 2,406.76

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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.