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Finding the Fourth Proportional to 1,842.74, 2,549.54 and 1,562.07

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Solution

The fourth proportional to 1,842.74, 2,549.54 and 1,562.07 is: 2,161.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,842.74 : 2,549.54 = 1,562.07 : x
  2. Step 2: Convert to fraction form
    1,842.74/2,549.54 = 1,562.07/x
  3. Step 3: Cross multiply
    1,842.74x = 2,549.54 × 1,562.07
  4. Step 4: Simplify right side
    1,842.74x = 3,982,559.95
  5. Step 5: Solve for x
    x = 3,982,559.95/1,842.74
  6. Step 6: Final answer
    x = 2,161.22

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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.