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Finding the Fourth Proportional to 3,394.76, 4,683.27 and 1,977.95

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Solution

The fourth proportional to 3,394.76, 4,683.27 and 1,977.95 is: 2,728.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.76 : 4,683.27 = 1,977.95 : x
  2. Step 2: Convert to fraction form
    3,394.76/4,683.27 = 1,977.95/x
  3. Step 3: Cross multiply
    3,394.76x = 4,683.27 × 1,977.95
  4. Step 4: Simplify right side
    3,394.76x = 9,263,273.90
  5. Step 5: Solve for x
    x = 9,263,273.90/3,394.76
  6. Step 6: Final answer
    x = 2,728.70

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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.