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Finding the Fourth Proportional to 2,603.12, 3,906.12 and 1,064

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Solution

The fourth proportional to 2,603.12, 3,906.12 and 1,064 is: 1,596.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,603.12 : 3,906.12 = 1,064 : x
  2. Step 2: Convert to fraction form
    2,603.12/3,906.12 = 1,064/x
  3. Step 3: Cross multiply
    2,603.12x = 3,906.12 × 1,064
  4. Step 4: Simplify right side
    2,603.12x = 4,156,111.68
  5. Step 5: Solve for x
    x = 4,156,111.68/2,603.12
  6. Step 6: Final answer
    x = 1,596.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.