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Finding the Fourth Proportional to 2,160.48, 3,241.56 and 1,339.32

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Solution

The fourth proportional to 2,160.48, 3,241.56 and 1,339.32 is: 2,009.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160.48 : 3,241.56 = 1,339.32 : x
  2. Step 2: Convert to fraction form
    2,160.48/3,241.56 = 1,339.32/x
  3. Step 3: Cross multiply
    2,160.48x = 3,241.56 × 1,339.32
  4. Step 4: Simplify right side
    2,160.48x = 4,341,486.14
  5. Step 5: Solve for x
    x = 4,341,486.14/2,160.48
  6. Step 6: Final answer
    x = 2,009.50

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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.