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Finding the Fourth Proportional to 3,129.60, 4,697.82 and 2,305.32

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Solution

The fourth proportional to 3,129.60, 4,697.82 and 2,305.32 is: 3,460.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,129.60 : 4,697.82 = 2,305.32 : x
  2. Step 2: Convert to fraction form
    3,129.60/4,697.82 = 2,305.32/x
  3. Step 3: Cross multiply
    3,129.60x = 4,697.82 × 2,305.32
  4. Step 4: Simplify right side
    3,129.60x = 10,829,978.40
  5. Step 5: Solve for x
    x = 10,829,978.40/3,129.60
  6. Step 6: Final answer
    x = 3,460.50

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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.