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Finding the Fourth Proportional to 4,652.42, 6,978.22 and 1,365.74

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Solution

The fourth proportional to 4,652.42, 6,978.22 and 1,365.74 is: 2,048.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.42 : 6,978.22 = 1,365.74 : x
  2. Step 2: Convert to fraction form
    4,652.42/6,978.22 = 1,365.74/x
  3. Step 3: Cross multiply
    4,652.42x = 6,978.22 × 1,365.74
  4. Step 4: Simplify right side
    4,652.42x = 9,530,434.18
  5. Step 5: Solve for x
    x = 9,530,434.18/4,652.42
  6. Step 6: Final answer
    x = 2,048.49

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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.