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Finding the Fourth Proportional to 3,070.94, 4,237.90 and 1,744.65

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Solution

The fourth proportional to 3,070.94, 4,237.90 and 1,744.65 is: 2,407.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.94 : 4,237.90 = 1,744.65 : x
  2. Step 2: Convert to fraction form
    3,070.94/4,237.90 = 1,744.65/x
  3. Step 3: Cross multiply
    3,070.94x = 4,237.90 × 1,744.65
  4. Step 4: Simplify right side
    3,070.94x = 7,393,657.69
  5. Step 5: Solve for x
    x = 7,393,657.69/3,070.94
  6. Step 6: Final answer
    x = 2,407.62

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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.