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Finding the Fourth Proportional to 3,106.53, 4,287.01 and 1,690.21

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Solution

The fourth proportional to 3,106.53, 4,287.01 and 1,690.21 is: 2,332.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,106.53 : 4,287.01 = 1,690.21 : x
  2. Step 2: Convert to fraction form
    3,106.53/4,287.01 = 1,690.21/x
  3. Step 3: Cross multiply
    3,106.53x = 4,287.01 × 1,690.21
  4. Step 4: Simplify right side
    3,106.53x = 7,245,947.17
  5. Step 5: Solve for x
    x = 7,245,947.17/3,106.53
  6. Step 6: Final answer
    x = 2,332.49

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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.