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Finding the Fourth Proportional to 1,781.88, 2,455.30 and 1,515.39

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Solution

The fourth proportional to 1,781.88, 2,455.30 and 1,515.39 is: 2,088.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.88 : 2,455.30 = 1,515.39 : x
  2. Step 2: Convert to fraction form
    1,781.88/2,455.30 = 1,515.39/x
  3. Step 3: Cross multiply
    1,781.88x = 2,455.30 × 1,515.39
  4. Step 4: Simplify right side
    1,781.88x = 3,720,721.23
  5. Step 5: Solve for x
    x = 3,720,721.23/1,781.88
  6. Step 6: Final answer
    x = 2,088.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.