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Finding the Fourth Proportional to 1,610.64, 2,222.82 and 912

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Solution

The fourth proportional to 1,610.64, 2,222.82 and 912 is: 1,258.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,610.64 : 2,222.82 = 912 : x
  2. Step 2: Convert to fraction form
    1,610.64/2,222.82 = 912/x
  3. Step 3: Cross multiply
    1,610.64x = 2,222.82 × 912
  4. Step 4: Simplify right side
    1,610.64x = 2,027,211.84
  5. Step 5: Solve for x
    x = 2,027,211.84/1,610.64
  6. Step 6: Final answer
    x = 1,258.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.