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Finding the Fourth Proportional to 4,070.71, 6,102.28 and 1,605.57

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Solution

The fourth proportional to 4,070.71, 6,102.28 and 1,605.57 is: 2,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,070.71 : 6,102.28 = 1,605.57 : x
  2. Step 2: Convert to fraction form
    4,070.71/6,102.28 = 1,605.57/x
  3. Step 3: Cross multiply
    4,070.71x = 6,102.28 × 1,605.57
  4. Step 4: Simplify right side
    4,070.71x = 9,797,637.70
  5. Step 5: Solve for x
    x = 9,797,637.70/4,070.71
  6. Step 6: Final answer
    x = 2,406.86

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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.