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Finding the Fourth Proportional to 4,190.96, 6,287.12 and 1,417.80

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Solution

The fourth proportional to 4,190.96, 6,287.12 and 1,417.80 is: 2,126.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.96 : 6,287.12 = 1,417.80 : x
  2. Step 2: Convert to fraction form
    4,190.96/6,287.12 = 1,417.80/x
  3. Step 3: Cross multiply
    4,190.96x = 6,287.12 × 1,417.80
  4. Step 4: Simplify right side
    4,190.96x = 8,913,882.28
  5. Step 5: Solve for x
    x = 8,913,882.28/4,190.96
  6. Step 6: Final answer
    x = 2,126.93

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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.