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Finding the Fourth Proportional to 3,311.97, 4,970.23 and 1,364.17

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Solution

The fourth proportional to 3,311.97, 4,970.23 and 1,364.17 is: 2,047.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,311.97 : 4,970.23 = 1,364.17 : x
  2. Step 2: Convert to fraction form
    3,311.97/4,970.23 = 1,364.17/x
  3. Step 3: Cross multiply
    3,311.97x = 4,970.23 × 1,364.17
  4. Step 4: Simplify right side
    3,311.97x = 6,780,254.50
  5. Step 5: Solve for x
    x = 6,780,254.50/3,311.97
  6. Step 6: Final answer
    x = 2,047.20

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.