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Finding the Fourth Proportional to 3,086.88, 4,259.89 and 1,670.58

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Solution

The fourth proportional to 3,086.88, 4,259.89 and 1,670.58 is: 2,305.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.88 : 4,259.89 = 1,670.58 : x
  2. Step 2: Convert to fraction form
    3,086.88/4,259.89 = 1,670.58/x
  3. Step 3: Cross multiply
    3,086.88x = 4,259.89 × 1,670.58
  4. Step 4: Simplify right side
    3,086.88x = 7,116,457.38
  5. Step 5: Solve for x
    x = 7,116,457.38/3,086.88
  6. Step 6: Final answer
    x = 2,305.39

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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.