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Finding the Fourth Proportional to 2,752.44, 4,128.28 and 903.64

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Solution

The fourth proportional to 2,752.44, 4,128.28 and 903.64 is: 1,355.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.44 : 4,128.28 = 903.64 : x
  2. Step 2: Convert to fraction form
    2,752.44/4,128.28 = 903.64/x
  3. Step 3: Cross multiply
    2,752.44x = 4,128.28 × 903.64
  4. Step 4: Simplify right side
    2,752.44x = 3,730,478.94
  5. Step 5: Solve for x
    x = 3,730,478.94/2,752.44
  6. Step 6: Final answer
    x = 1,355.34

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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.