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Finding the Fourth Proportional to 2,868.70, 3,959.40 and 1,690.06

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Solution

The fourth proportional to 2,868.70, 3,959.40 and 1,690.06 is: 2,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,868.70 : 3,959.40 = 1,690.06 : x
  2. Step 2: Convert to fraction form
    2,868.70/3,959.40 = 1,690.06/x
  3. Step 3: Cross multiply
    2,868.70x = 3,959.40 × 1,690.06
  4. Step 4: Simplify right side
    2,868.70x = 6,691,623.56
  5. Step 5: Solve for x
    x = 6,691,623.56/2,868.70
  6. Step 6: Final answer
    x = 2,332.63

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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.