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Finding the Fourth Proportional to 2,069.68, 2,853.96 and 1,860.68

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Solution

The fourth proportional to 2,069.68, 2,853.96 and 1,860.68 is: 2,565.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.68 : 2,853.96 = 1,860.68 : x
  2. Step 2: Convert to fraction form
    2,069.68/2,853.96 = 1,860.68/x
  3. Step 3: Cross multiply
    2,069.68x = 2,853.96 × 1,860.68
  4. Step 4: Simplify right side
    2,069.68x = 5,310,306.29
  5. Step 5: Solve for x
    x = 5,310,306.29/2,069.68
  6. Step 6: Final answer
    x = 2,565.76

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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.