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Finding the Fourth Proportional to 3,003.09, 4,142.54 and 1,807.25

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Solution

The fourth proportional to 3,003.09, 4,142.54 and 1,807.25 is: 2,492.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,003.09 : 4,142.54 = 1,807.25 : x
  2. Step 2: Convert to fraction form
    3,003.09/4,142.54 = 1,807.25/x
  3. Step 3: Cross multiply
    3,003.09x = 4,142.54 × 1,807.25
  4. Step 4: Simplify right side
    3,003.09x = 7,486,605.42
  5. Step 5: Solve for x
    x = 7,486,605.42/3,003.09
  6. Step 6: Final answer
    x = 2,492.97

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