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Finding the Fourth Proportional to 3,106.63, 4,287.17 and 1,690.33

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Solution

The fourth proportional to 3,106.63, 4,287.17 and 1,690.33 is: 2,332.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.63 : 4,287.17 = 1,690.33 : x
  2. Step 2: Convert to fraction form
    3,106.63/4,287.17 = 1,690.33/x
  3. Step 3: Cross multiply
    3,106.63x = 4,287.17 × 1,690.33
  4. Step 4: Simplify right side
    3,106.63x = 7,246,748.32
  5. Step 5: Solve for x
    x = 7,246,748.32/3,106.63
  6. Step 6: Final answer
    x = 2,332.67

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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.