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Finding the Fourth Proportional to 1,781.40, 2,671.71 and 903.33

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Solution

The fourth proportional to 1,781.40, 2,671.71 and 903.33 is: 1,354.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.40 : 2,671.71 = 903.33 : x
  2. Step 2: Convert to fraction form
    1,781.40/2,671.71 = 903.33/x
  3. Step 3: Cross multiply
    1,781.40x = 2,671.71 × 903.33
  4. Step 4: Simplify right side
    1,781.40x = 2,413,435.79
  5. Step 5: Solve for x
    x = 2,413,435.79/1,781.40
  6. Step 6: Final answer
    x = 1,354.80

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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.