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Finding the Fourth Proportional to 3,105.36, 4,658.16 and 1,460.76

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Solution

The fourth proportional to 3,105.36, 4,658.16 and 1,460.76 is: 2,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.36 : 4,658.16 = 1,460.76 : x
  2. Step 2: Convert to fraction form
    3,105.36/4,658.16 = 1,460.76/x
  3. Step 3: Cross multiply
    3,105.36x = 4,658.16 × 1,460.76
  4. Step 4: Simplify right side
    3,105.36x = 6,804,453.80
  5. Step 5: Solve for x
    x = 6,804,453.80/3,105.36
  6. Step 6: Final answer
    x = 2,191.20

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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.