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Finding the Fourth Proportional to 1,897.12, 2,846.32 and 742.24

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Solution

The fourth proportional to 1,897.12, 2,846.32 and 742.24 is: 1,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.12 : 2,846.32 = 742.24 : x
  2. Step 2: Convert to fraction form
    1,897.12/2,846.32 = 742.24/x
  3. Step 3: Cross multiply
    1,897.12x = 2,846.32 × 742.24
  4. Step 4: Simplify right side
    1,897.12x = 2,112,652.56
  5. Step 5: Solve for x
    x = 2,112,652.56/1,897.12
  6. Step 6: Final answer
    x = 1,113.61

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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.