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Finding the Fourth Proportional to 3,105.04, 4,655.38 and 1,460

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Solution

The fourth proportional to 3,105.04, 4,655.38 and 1,460 is: 2,188.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,105.04 : 4,655.38 = 1,460 : x
  2. Step 2: Convert to fraction form
    3,105.04/4,655.38 = 1,460/x
  3. Step 3: Cross multiply
    3,105.04x = 4,655.38 × 1,460
  4. Step 4: Simplify right side
    3,105.04x = 6,796,854.80
  5. Step 5: Solve for x
    x = 6,796,854.80/3,105.04
  6. Step 6: Final answer
    x = 2,188.97

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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.