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Finding the Fourth Proportional to 3,104.57, 4,656.87 and 1,460.23

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Solution

The fourth proportional to 3,104.57, 4,656.87 and 1,460.23 is: 2,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.57 : 4,656.87 = 1,460.23 : x
  2. Step 2: Convert to fraction form
    3,104.57/4,656.87 = 1,460.23/x
  3. Step 3: Cross multiply
    3,104.57x = 4,656.87 × 1,460.23
  4. Step 4: Simplify right side
    3,104.57x = 6,800,089.64
  5. Step 5: Solve for x
    x = 6,800,089.64/3,104.57
  6. Step 6: Final answer
    x = 2,190.35

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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.