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Finding the Fourth Proportional to 3,026.29, 4,540.54 and 946.45

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Solution

The fourth proportional to 3,026.29, 4,540.54 and 946.45 is: 1,420.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,026.29 : 4,540.54 = 946.45 : x
  2. Step 2: Convert to fraction form
    3,026.29/4,540.54 = 946.45/x
  3. Step 3: Cross multiply
    3,026.29x = 4,540.54 × 946.45
  4. Step 4: Simplify right side
    3,026.29x = 4,297,371.38
  5. Step 5: Solve for x
    x = 4,297,371.38/3,026.29
  6. Step 6: Final answer
    x = 1,420.01

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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.