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Finding the Fourth Proportional to 2,126.64, 3,187.62 and 893.28

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Solution

The fourth proportional to 2,126.64, 3,187.62 and 893.28 is: 1,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126.64 : 3,187.62 = 893.28 : x
  2. Step 2: Convert to fraction form
    2,126.64/3,187.62 = 893.28/x
  3. Step 3: Cross multiply
    2,126.64x = 3,187.62 × 893.28
  4. Step 4: Simplify right side
    2,126.64x = 2,847,437.19
  5. Step 5: Solve for x
    x = 2,847,437.19/2,126.64
  6. Step 6: Final answer
    x = 1,338.94

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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.