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Finding the Fourth Proportional to 3,066.46, 4,598.34 and 874.69

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Solution

The fourth proportional to 3,066.46, 4,598.34 and 874.69 is: 1,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.46 : 4,598.34 = 874.69 : x
  2. Step 2: Convert to fraction form
    3,066.46/4,598.34 = 874.69/x
  3. Step 3: Cross multiply
    3,066.46x = 4,598.34 × 874.69
  4. Step 4: Simplify right side
    3,066.46x = 4,022,122.01
  5. Step 5: Solve for x
    x = 4,022,122.01/3,066.46
  6. Step 6: Final answer
    x = 1,311.65

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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.