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Finding the Fourth Proportional to 2,335.56, 3,504.48 and 1,181.28

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Solution

The fourth proportional to 2,335.56, 3,504.48 and 1,181.28 is: 1,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,335.56 : 3,504.48 = 1,181.28 : x
  2. Step 2: Convert to fraction form
    2,335.56/3,504.48 = 1,181.28/x
  3. Step 3: Cross multiply
    2,335.56x = 3,504.48 × 1,181.28
  4. Step 4: Simplify right side
    2,335.56x = 4,139,772.13
  5. Step 5: Solve for x
    x = 4,139,772.13/2,335.56
  6. Step 6: Final answer
    x = 1,772.50

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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.