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Finding the Fourth Proportional to 1,841.74, 2,542.84 and 1,415.61

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Solution

The fourth proportional to 1,841.74, 2,542.84 and 1,415.61 is: 1,954.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.74 : 2,542.84 = 1,415.61 : x
  2. Step 2: Convert to fraction form
    1,841.74/2,542.84 = 1,415.61/x
  3. Step 3: Cross multiply
    1,841.74x = 2,542.84 × 1,415.61
  4. Step 4: Simplify right side
    1,841.74x = 3,599,666.19
  5. Step 5: Solve for x
    x = 3,599,666.19/1,841.74
  6. Step 6: Final answer
    x = 1,954.49

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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.