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Finding the Fourth Proportional to 3,433.65, 4,739.22 and 2,017.50

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Solution

The fourth proportional to 3,433.65, 4,739.22 and 2,017.50 is: 2,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.65 : 4,739.22 = 2,017.50 : x
  2. Step 2: Convert to fraction form
    3,433.65/4,739.22 = 2,017.50/x
  3. Step 3: Cross multiply
    3,433.65x = 4,739.22 × 2,017.50
  4. Step 4: Simplify right side
    3,433.65x = 9,561,376.35
  5. Step 5: Solve for x
    x = 9,561,376.35/3,433.65
  6. Step 6: Final answer
    x = 2,784.61

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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.