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Finding the Fourth Proportional to 1,205, 1,652.90 and 1,194.60

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Solution

The fourth proportional to 1,205, 1,652.90 and 1,194.60 is: 1,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,205 : 1,652.90 = 1,194.60 : x
  2. Step 2: Convert to fraction form
    1,205/1,652.90 = 1,194.60/x
  3. Step 3: Cross multiply
    1,205x = 1,652.90 × 1,194.60
  4. Step 4: Simplify right side
    1,205x = 1,974,554.34
  5. Step 5: Solve for x
    x = 1,974,554.34/1,205
  6. Step 6: Final answer
    x = 1,638.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.