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Finding the Fourth Proportional to 2,869.79, 3,959.57 and 1,690.63

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Solution

The fourth proportional to 2,869.79, 3,959.57 and 1,690.63 is: 2,332.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,869.79 : 3,959.57 = 1,690.63 : x
  2. Step 2: Convert to fraction form
    2,869.79/3,959.57 = 1,690.63/x
  3. Step 3: Cross multiply
    2,869.79x = 3,959.57 × 1,690.63
  4. Step 4: Simplify right side
    2,869.79x = 6,694,162.16
  5. Step 5: Solve for x
    x = 6,694,162.16/2,869.79
  6. Step 6: Final answer
    x = 2,332.64

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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.