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Finding the Fourth Proportional to 1,634.85, 2,441.88 and 1,404.41

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Solution

The fourth proportional to 1,634.85, 2,441.88 and 1,404.41 is: 2,097.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,634.85 : 2,441.88 = 1,404.41 : x
  2. Step 2: Convert to fraction form
    1,634.85/2,441.88 = 1,404.41/x
  3. Step 3: Cross multiply
    1,634.85x = 2,441.88 × 1,404.41
  4. Step 4: Simplify right side
    1,634.85x = 3,429,388.48
  5. Step 5: Solve for x
    x = 3,429,388.48/1,634.85
  6. Step 6: Final answer
    x = 2,097.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.