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Finding the Fourth Proportional to 2,652.22, 3,978.32 and 1,497.96

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Solution

The fourth proportional to 2,652.22, 3,978.32 and 1,497.96 is: 2,246.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.22 : 3,978.32 = 1,497.96 : x
  2. Step 2: Convert to fraction form
    2,652.22/3,978.32 = 1,497.96/x
  3. Step 3: Cross multiply
    2,652.22x = 3,978.32 × 1,497.96
  4. Step 4: Simplify right side
    2,652.22x = 5,959,364.23
  5. Step 5: Solve for x
    x = 5,959,364.23/2,652.22
  6. Step 6: Final answer
    x = 2,246.93

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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.