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Finding the Fourth Proportional to 2,752.52, 4,128.86 and 903.64

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Solution

The fourth proportional to 2,752.52, 4,128.86 and 903.64 is: 1,355.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.52 : 4,128.86 = 903.64 : x
  2. Step 2: Convert to fraction form
    2,752.52/4,128.86 = 903.64/x
  3. Step 3: Cross multiply
    2,752.52x = 4,128.86 × 903.64
  4. Step 4: Simplify right side
    2,752.52x = 3,731,003.05
  5. Step 5: Solve for x
    x = 3,731,003.05/2,752.52
  6. Step 6: Final answer
    x = 1,355.49

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Why These Related Problems?

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