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Finding the Fourth Proportional to 2,289.74, 3,162.43 and 1,542.41

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Solution

The fourth proportional to 2,289.74, 3,162.43 and 1,542.41 is: 2,130.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.74 : 3,162.43 = 1,542.41 : x
  2. Step 2: Convert to fraction form
    2,289.74/3,162.43 = 1,542.41/x
  3. Step 3: Cross multiply
    2,289.74x = 3,162.43 × 1,542.41
  4. Step 4: Simplify right side
    2,289.74x = 4,877,761.63
  5. Step 5: Solve for x
    x = 4,877,761.63/2,289.74
  6. Step 6: Final answer
    x = 2,130.27

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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.