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Finding the Fourth Proportional to 2,518.60, 3,770.78 and 1,695.24

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Solution

The fourth proportional to 2,518.60, 3,770.78 and 1,695.24 is: 2,538.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,518.60 : 3,770.78 = 1,695.24 : x
  2. Step 2: Convert to fraction form
    2,518.60/3,770.78 = 1,695.24/x
  3. Step 3: Cross multiply
    2,518.60x = 3,770.78 × 1,695.24
  4. Step 4: Simplify right side
    2,518.60x = 6,392,377.09
  5. Step 5: Solve for x
    x = 6,392,377.09/2,518.60
  6. Step 6: Final answer
    x = 2,538.07

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