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Finding the Fourth Proportional to 3,104.60, 4,656.81 and 1,024.70

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Solution

The fourth proportional to 3,104.60, 4,656.81 and 1,024.70 is: 1,537.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.60 : 4,656.81 = 1,024.70 : x
  2. Step 2: Convert to fraction form
    3,104.60/4,656.81 = 1,024.70/x
  3. Step 3: Cross multiply
    3,104.60x = 4,656.81 × 1,024.70
  4. Step 4: Simplify right side
    3,104.60x = 4,771,833.21
  5. Step 5: Solve for x
    x = 4,771,833.21/3,104.60
  6. Step 6: Final answer
    x = 1,537.02

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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.