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Finding the Fourth Proportional to 3,070.65, 4,237.34 and 1,744.26

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Solution

The fourth proportional to 3,070.65, 4,237.34 and 1,744.26 is: 2,406.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,070.65 : 4,237.34 = 1,744.26 : x
  2. Step 2: Convert to fraction form
    3,070.65/4,237.34 = 1,744.26/x
  3. Step 3: Cross multiply
    3,070.65x = 4,237.34 × 1,744.26
  4. Step 4: Simplify right side
    3,070.65x = 7,391,013.95
  5. Step 5: Solve for x
    x = 7,391,013.95/3,070.65
  6. Step 6: Final answer
    x = 2,406.99

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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.