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Finding the Fourth Proportional to 3,397.55, 4,688.73 and 1,905.44

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Solution

The fourth proportional to 3,397.55, 4,688.73 and 1,905.44 is: 2,629.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,397.55 : 4,688.73 = 1,905.44 : x
  2. Step 2: Convert to fraction form
    3,397.55/4,688.73 = 1,905.44/x
  3. Step 3: Cross multiply
    3,397.55x = 4,688.73 × 1,905.44
  4. Step 4: Simplify right side
    3,397.55x = 8,934,070.25
  5. Step 5: Solve for x
    x = 8,934,070.25/3,397.55
  6. Step 6: Final answer
    x = 2,629.57

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1.5x scale

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.