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Finding the Fourth Proportional to 2,126.06, 3,188.58 and 893.49

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Solution

The fourth proportional to 2,126.06, 3,188.58 and 893.49 is: 1,340.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.06 : 3,188.58 = 893.49 : x
  2. Step 2: Convert to fraction form
    2,126.06/3,188.58 = 893.49/x
  3. Step 3: Cross multiply
    2,126.06x = 3,188.58 × 893.49
  4. Step 4: Simplify right side
    2,126.06x = 2,848,964.34
  5. Step 5: Solve for x
    x = 2,848,964.34/2,126.06
  6. Step 6: Final answer
    x = 1,340.02

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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.