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Finding the Fourth Proportional to 4,170.69, 6,254.01 and 2,089.80

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Solution

The fourth proportional to 4,170.69, 6,254.01 and 2,089.80 is: 3,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.69 : 6,254.01 = 2,089.80 : x
  2. Step 2: Convert to fraction form
    4,170.69/6,254.01 = 2,089.80/x
  3. Step 3: Cross multiply
    4,170.69x = 6,254.01 × 2,089.80
  4. Step 4: Simplify right side
    4,170.69x = 13,069,630.10
  5. Step 5: Solve for x
    x = 13,069,630.10/4,170.69
  6. Step 6: Final answer
    x = 3,133.69

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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.