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Finding the Fourth Proportional to 1,603.35, 2,211.98 and 1,229.67

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Solution

The fourth proportional to 1,603.35, 2,211.98 and 1,229.67 is: 1,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603.35 : 2,211.98 = 1,229.67 : x
  2. Step 2: Convert to fraction form
    1,603.35/2,211.98 = 1,229.67/x
  3. Step 3: Cross multiply
    1,603.35x = 2,211.98 × 1,229.67
  4. Step 4: Simplify right side
    1,603.35x = 2,719,999.30
  5. Step 5: Solve for x
    x = 2,719,999.30/1,603.35
  6. Step 6: Final answer
    x = 1,696.45

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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.