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Finding the Fourth Proportional to 3,054.05, 4,580.44 and 862.19

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Solution

The fourth proportional to 3,054.05, 4,580.44 and 862.19 is: 1,293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,054.05 : 4,580.44 = 862.19 : x
  2. Step 2: Convert to fraction form
    3,054.05/4,580.44 = 862.19/x
  3. Step 3: Cross multiply
    3,054.05x = 4,580.44 × 862.19
  4. Step 4: Simplify right side
    3,054.05x = 3,949,218.86
  5. Step 5: Solve for x
    x = 3,949,218.86/3,054.05
  6. Step 6: Final answer
    x = 1,293.11

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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.