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Finding the Fourth Proportional to 4,652.44, 6,978.66 and 2,054.68

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Solution

The fourth proportional to 4,652.44, 6,978.66 and 2,054.68 is: 3,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.44 : 6,978.66 = 2,054.68 : x
  2. Step 2: Convert to fraction form
    4,652.44/6,978.66 = 2,054.68/x
  3. Step 3: Cross multiply
    4,652.44x = 6,978.66 × 2,054.68
  4. Step 4: Simplify right side
    4,652.44x = 14,338,913.13
  5. Step 5: Solve for x
    x = 14,338,913.13/4,652.44
  6. Step 6: Final answer
    x = 3,082.02

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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.