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Finding the Fourth Proportional to 3,104.06, 4,655.28 and 1,460.30

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Solution

The fourth proportional to 3,104.06, 4,655.28 and 1,460.30 is: 2,190.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.06 : 4,655.28 = 1,460.30 : x
  2. Step 2: Convert to fraction form
    3,104.06/4,655.28 = 1,460.30/x
  3. Step 3: Cross multiply
    3,104.06x = 4,655.28 × 1,460.30
  4. Step 4: Simplify right side
    3,104.06x = 6,798,105.38
  5. Step 5: Solve for x
    x = 6,798,105.38/3,104.06
  6. Step 6: Final answer
    x = 2,190.07

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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.