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Finding the Fourth Proportional to 2,947.77, 4,069.80 and 1,830.35

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Solution

The fourth proportional to 2,947.77, 4,069.80 and 1,830.35 is: 2,527.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.77 : 4,069.80 = 1,830.35 : x
  2. Step 2: Convert to fraction form
    2,947.77/4,069.80 = 1,830.35/x
  3. Step 3: Cross multiply
    2,947.77x = 4,069.80 × 1,830.35
  4. Step 4: Simplify right side
    2,947.77x = 7,449,138.08
  5. Step 5: Solve for x
    x = 7,449,138.08/2,947.77
  6. Step 6: Final answer
    x = 2,527.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.