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Finding the Fourth Proportional to 2,395.60, 3,305.82 and 1,451.38

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Solution

The fourth proportional to 2,395.60, 3,305.82 and 1,451.38 is: 2,002.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,395.60 : 3,305.82 = 1,451.38 : x
  2. Step 2: Convert to fraction form
    2,395.60/3,305.82 = 1,451.38/x
  3. Step 3: Cross multiply
    2,395.60x = 3,305.82 × 1,451.38
  4. Step 4: Simplify right side
    2,395.60x = 4,798,001.03
  5. Step 5: Solve for x
    x = 4,798,001.03/2,395.60
  6. Step 6: Final answer
    x = 2,002.84

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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.