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Finding the Fourth Proportional to 3,040.64, 4,560 and 1,929.28

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Solution

The fourth proportional to 3,040.64, 4,560 and 1,929.28 is: 2,893.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,040.64 : 4,560 = 1,929.28 : x
  2. Step 2: Convert to fraction form
    3,040.64/4,560 = 1,929.28/x
  3. Step 3: Cross multiply
    3,040.64x = 4,560 × 1,929.28
  4. Step 4: Simplify right side
    3,040.64x = 8,797,516.80
  5. Step 5: Solve for x
    x = 8,797,516.80/3,040.64
  6. Step 6: Final answer
    x = 2,893.31

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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.