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Finding the Fourth Proportional to 3,314.96, 4,970.83 and 1,928.70

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Solution

The fourth proportional to 3,314.96, 4,970.83 and 1,928.70 is: 2,892.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,314.96 : 4,970.83 = 1,928.70 : x
  2. Step 2: Convert to fraction form
    3,314.96/4,970.83 = 1,928.70/x
  3. Step 3: Cross multiply
    3,314.96x = 4,970.83 × 1,928.70
  4. Step 4: Simplify right side
    3,314.96x = 9,587,239.82
  5. Step 5: Solve for x
    x = 9,587,239.82/3,314.96
  6. Step 6: Final answer
    x = 2,892.11

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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.