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Finding the Fourth Proportional to 2,301.82, 3,451.82 and 1,002.38

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Solution

The fourth proportional to 2,301.82, 3,451.82 and 1,002.38 is: 1,503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,301.82 : 3,451.82 = 1,002.38 : x
  2. Step 2: Convert to fraction form
    2,301.82/3,451.82 = 1,002.38/x
  3. Step 3: Cross multiply
    2,301.82x = 3,451.82 × 1,002.38
  4. Step 4: Simplify right side
    2,301.82x = 3,460,013.06
  5. Step 5: Solve for x
    x = 3,460,013.06/2,301.82
  6. Step 6: Final answer
    x = 1,503.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.