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Finding the Fourth Proportional to 1,854.57, 2,781.81 and 758.64

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Solution

The fourth proportional to 1,854.57, 2,781.81 and 758.64 is: 1,137.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,854.57 : 2,781.81 = 758.64 : x
  2. Step 2: Convert to fraction form
    1,854.57/2,781.81 = 758.64/x
  3. Step 3: Cross multiply
    1,854.57x = 2,781.81 × 758.64
  4. Step 4: Simplify right side
    1,854.57x = 2,110,392.34
  5. Step 5: Solve for x
    x = 2,110,392.34/1,854.57
  6. Step 6: Final answer
    x = 1,137.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.