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Finding the Fourth Proportional to 2,495.43, 3,744.09 and 1,034.46

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Solution

The fourth proportional to 2,495.43, 3,744.09 and 1,034.46 is: 1,552.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,495.43 : 3,744.09 = 1,034.46 : x
  2. Step 2: Convert to fraction form
    2,495.43/3,744.09 = 1,034.46/x
  3. Step 3: Cross multiply
    2,495.43x = 3,744.09 × 1,034.46
  4. Step 4: Simplify right side
    2,495.43x = 3,873,111.34
  5. Step 5: Solve for x
    x = 3,873,111.34/2,495.43
  6. Step 6: Final answer
    x = 1,552.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.