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Finding the Fourth Proportional to 2,005.88, 2,767.82 and 1,341.68

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Solution

The fourth proportional to 2,005.88, 2,767.82 and 1,341.68 is: 1,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.88 : 2,767.82 = 1,341.68 : x
  2. Step 2: Convert to fraction form
    2,005.88/2,767.82 = 1,341.68/x
  3. Step 3: Cross multiply
    2,005.88x = 2,767.82 × 1,341.68
  4. Step 4: Simplify right side
    2,005.88x = 3,713,528.74
  5. Step 5: Solve for x
    x = 3,713,528.74/2,005.88
  6. Step 6: Final answer
    x = 1,851.32

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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.