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Finding the Fourth Proportional to 2,873.80, 3,966.60 and 1,695.25

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Solution

The fourth proportional to 2,873.80, 3,966.60 and 1,695.25 is: 2,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,873.80 : 3,966.60 = 1,695.25 : x
  2. Step 2: Convert to fraction form
    2,873.80/3,966.60 = 1,695.25/x
  3. Step 3: Cross multiply
    2,873.80x = 3,966.60 × 1,695.25
  4. Step 4: Simplify right side
    2,873.80x = 6,724,378.65
  5. Step 5: Solve for x
    x = 6,724,378.65/2,873.80
  6. Step 6: Final answer
    x = 2,339.89

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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.