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Finding the Fourth Proportional to 1,354.42, 2,033.88 and 844.66

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Solution

The fourth proportional to 1,354.42, 2,033.88 and 844.66 is: 1,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.42 : 2,033.88 = 844.66 : x
  2. Step 2: Convert to fraction form
    1,354.42/2,033.88 = 844.66/x
  3. Step 3: Cross multiply
    1,354.42x = 2,033.88 × 844.66
  4. Step 4: Simplify right side
    1,354.42x = 1,717,937.08
  5. Step 5: Solve for x
    x = 1,717,937.08/1,354.42
  6. Step 6: Final answer
    x = 1,268.39

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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.