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Finding the Fourth Proportional to 3,454.35, 5,177.93 and 1,970.40

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Solution

The fourth proportional to 3,454.35, 5,177.93 and 1,970.40 is: 2,953.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.35 : 5,177.93 = 1,970.40 : x
  2. Step 2: Convert to fraction form
    3,454.35/5,177.93 = 1,970.40/x
  3. Step 3: Cross multiply
    3,454.35x = 5,177.93 × 1,970.40
  4. Step 4: Simplify right side
    3,454.35x = 10,202,593.27
  5. Step 5: Solve for x
    x = 10,202,593.27/3,454.35
  6. Step 6: Final answer
    x = 2,953.55

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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.