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Finding the Fourth Proportional to 3,214.86, 4,822.64 and 1,023.07

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Solution

The fourth proportional to 3,214.86, 4,822.64 and 1,023.07 is: 1,534.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214.86 : 4,822.64 = 1,023.07 : x
  2. Step 2: Convert to fraction form
    3,214.86/4,822.64 = 1,023.07/x
  3. Step 3: Cross multiply
    3,214.86x = 4,822.64 × 1,023.07
  4. Step 4: Simplify right side
    3,214.86x = 4,933,907.58
  5. Step 5: Solve for x
    x = 4,933,907.58/3,214.86
  6. Step 6: Final answer
    x = 1,534.72

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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.