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Finding the Fourth Proportional to 2,079.69, 2,867.64 and 1,700.40

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Solution

The fourth proportional to 2,079.69, 2,867.64 and 1,700.40 is: 2,344.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,079.69 : 2,867.64 = 1,700.40 : x
  2. Step 2: Convert to fraction form
    2,079.69/2,867.64 = 1,700.40/x
  3. Step 3: Cross multiply
    2,079.69x = 2,867.64 × 1,700.40
  4. Step 4: Simplify right side
    2,079.69x = 4,876,135.06
  5. Step 5: Solve for x
    x = 4,876,135.06/2,079.69
  6. Step 6: Final answer
    x = 2,344.65

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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.