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Finding the Fourth Proportional to 3,121.70, 4,682.55 and 2,303.60

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Solution

The fourth proportional to 3,121.70, 4,682.55 and 2,303.60 is: 3,455.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,121.70 : 4,682.55 = 2,303.60 : x
  2. Step 2: Convert to fraction form
    3,121.70/4,682.55 = 2,303.60/x
  3. Step 3: Cross multiply
    3,121.70x = 4,682.55 × 2,303.60
  4. Step 4: Simplify right side
    3,121.70x = 10,786,722.18
  5. Step 5: Solve for x
    x = 10,786,722.18/3,121.70
  6. Step 6: Final answer
    x = 3,455.40

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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.