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Finding the Fourth Proportional to 4,066.74, 6,102.16 and 1,603.33

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Solution

The fourth proportional to 4,066.74, 6,102.16 and 1,603.33 is: 2,405.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.74 : 6,102.16 = 1,603.33 : x
  2. Step 2: Convert to fraction form
    4,066.74/6,102.16 = 1,603.33/x
  3. Step 3: Cross multiply
    4,066.74x = 6,102.16 × 1,603.33
  4. Step 4: Simplify right side
    4,066.74x = 9,783,776.19
  5. Step 5: Solve for x
    x = 9,783,776.19/4,066.74
  6. Step 6: Final answer
    x = 2,405.80

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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.