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Finding the Fourth Proportional to 3,102.32, 4,655.64 and 2,129.36

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Solution

The fourth proportional to 3,102.32, 4,655.64 and 2,129.36 is: 3,195.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,102.32 : 4,655.64 = 2,129.36 : x
  2. Step 2: Convert to fraction form
    3,102.32/4,655.64 = 2,129.36/x
  3. Step 3: Cross multiply
    3,102.32x = 4,655.64 × 2,129.36
  4. Step 4: Simplify right side
    3,102.32x = 9,913,533.59
  5. Step 5: Solve for x
    x = 9,913,533.59/3,102.32
  6. Step 6: Final answer
    x = 3,195.52

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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.