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Finding the Fourth Proportional to 3,104.15, 4,655.61 and 1,460.25

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Solution

The fourth proportional to 3,104.15, 4,655.61 and 1,460.25 is: 2,190.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.15 : 4,655.61 = 1,460.25 : x
  2. Step 2: Convert to fraction form
    3,104.15/4,655.61 = 1,460.25/x
  3. Step 3: Cross multiply
    3,104.15x = 4,655.61 × 1,460.25
  4. Step 4: Simplify right side
    3,104.15x = 6,798,354.50
  5. Step 5: Solve for x
    x = 6,798,354.50/3,104.15
  6. Step 6: Final answer
    x = 2,190.09

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Why These Related Problems?

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