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Finding the Fourth Proportional to 4,066.46, 6,102.93 and 1,601.90

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Solution

The fourth proportional to 4,066.46, 6,102.93 and 1,601.90 is: 2,404.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.46 : 6,102.93 = 1,601.90 : x
  2. Step 2: Convert to fraction form
    4,066.46/6,102.93 = 1,601.90/x
  3. Step 3: Cross multiply
    4,066.46x = 6,102.93 × 1,601.90
  4. Step 4: Simplify right side
    4,066.46x = 9,776,283.57
  5. Step 5: Solve for x
    x = 9,776,283.57/4,066.46
  6. Step 6: Final answer
    x = 2,404.13

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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.