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Finding the Fourth Proportional to 1,232.88, 1,698.36 and 1,211.76

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Solution

The fourth proportional to 1,232.88, 1,698.36 and 1,211.76 is: 1,669.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232.88 : 1,698.36 = 1,211.76 : x
  2. Step 2: Convert to fraction form
    1,232.88/1,698.36 = 1,211.76/x
  3. Step 3: Cross multiply
    1,232.88x = 1,698.36 × 1,211.76
  4. Step 4: Simplify right side
    1,232.88x = 2,058,004.71
  5. Step 5: Solve for x
    x = 2,058,004.71/1,232.88
  6. Step 6: Final answer
    x = 1,669.27

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