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Finding the Fourth Proportional to 2,835.52, 4,253.26 and 783.52

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Solution

The fourth proportional to 2,835.52, 4,253.26 and 783.52 is: 1,175.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.52 : 4,253.26 = 783.52 : x
  2. Step 2: Convert to fraction form
    2,835.52/4,253.26 = 783.52/x
  3. Step 3: Cross multiply
    2,835.52x = 4,253.26 × 783.52
  4. Step 4: Simplify right side
    2,835.52x = 3,332,514.28
  5. Step 5: Solve for x
    x = 3,332,514.28/2,835.52
  6. Step 6: Final answer
    x = 1,175.27

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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.