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Finding the Fourth Proportional to 3,066.84, 4,599.85 and 845.72

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Solution

The fourth proportional to 3,066.84, 4,599.85 and 845.72 is: 1,268.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.84 : 4,599.85 = 845.72 : x
  2. Step 2: Convert to fraction form
    3,066.84/4,599.85 = 845.72/x
  3. Step 3: Cross multiply
    3,066.84x = 4,599.85 × 845.72
  4. Step 4: Simplify right side
    3,066.84x = 3,890,185.14
  5. Step 5: Solve for x
    x = 3,890,185.14/3,066.84
  6. Step 6: Final answer
    x = 1,268.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.