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Finding the Fourth Proportional to 2,893.60, 3,992.32 and 1,962.24

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Solution

The fourth proportional to 2,893.60, 3,992.32 and 1,962.24 is: 2,707.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,893.60 : 3,992.32 = 1,962.24 : x
  2. Step 2: Convert to fraction form
    2,893.60/3,992.32 = 1,962.24/x
  3. Step 3: Cross multiply
    2,893.60x = 3,992.32 × 1,962.24
  4. Step 4: Simplify right side
    2,893.60x = 7,833,890.00
  5. Step 5: Solve for x
    x = 7,833,890.00/2,893.60
  6. Step 6: Final answer
    x = 2,707.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.