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Finding the Fourth Proportional to 4,158.90, 6,232.97 and 1,690.86

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Solution

The fourth proportional to 4,158.90, 6,232.97 and 1,690.86 is: 2,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,158.90 : 6,232.97 = 1,690.86 : x
  2. Step 2: Convert to fraction form
    4,158.90/6,232.97 = 1,690.86/x
  3. Step 3: Cross multiply
    4,158.90x = 6,232.97 × 1,690.86
  4. Step 4: Simplify right side
    4,158.90x = 10,539,079.65
  5. Step 5: Solve for x
    x = 10,539,079.65/4,158.90
  6. Step 6: Final answer
    x = 2,534.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.