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Finding the Fourth Proportional to 3,397.32, 4,688.58 and 1,905.22

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Solution

The fourth proportional to 3,397.32, 4,688.58 and 1,905.22 is: 2,629.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.32 : 4,688.58 = 1,905.22 : x
  2. Step 2: Convert to fraction form
    3,397.32/4,688.58 = 1,905.22/x
  3. Step 3: Cross multiply
    3,397.32x = 4,688.58 × 1,905.22
  4. Step 4: Simplify right side
    3,397.32x = 8,932,776.39
  5. Step 5: Solve for x
    x = 8,932,776.39/3,397.32
  6. Step 6: Final answer
    x = 2,629.36

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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.