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Finding the Fourth Proportional to 1,404.57, 2,110.91 and 920.64

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Solution

The fourth proportional to 1,404.57, 2,110.91 and 920.64 is: 1,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,404.57 : 2,110.91 = 920.64 : x
  2. Step 2: Convert to fraction form
    1,404.57/2,110.91 = 920.64/x
  3. Step 3: Cross multiply
    1,404.57x = 2,110.91 × 920.64
  4. Step 4: Simplify right side
    1,404.57x = 1,943,383.58
  5. Step 5: Solve for x
    x = 1,943,383.58/1,404.57
  6. Step 6: Final answer
    x = 1,383.61

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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.