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Finding the Fourth Proportional to 3,066.10, 4,597.10 and 1,216.72

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Solution

The fourth proportional to 3,066.10, 4,597.10 and 1,216.72 is: 1,824.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,066.10 : 4,597.10 = 1,216.72 : x
  2. Step 2: Convert to fraction form
    3,066.10/4,597.10 = 1,216.72/x
  3. Step 3: Cross multiply
    3,066.10x = 4,597.10 × 1,216.72
  4. Step 4: Simplify right side
    3,066.10x = 5,593,370.50
  5. Step 5: Solve for x
    x = 5,593,370.50/3,066.10
  6. Step 6: Final answer
    x = 1,824.26

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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.