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Finding the Fourth Proportional to 3,401.70, 5,102.94 and 1,210.68

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Solution

The fourth proportional to 3,401.70, 5,102.94 and 1,210.68 is: 1,816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.70 : 5,102.94 = 1,210.68 : x
  2. Step 2: Convert to fraction form
    3,401.70/5,102.94 = 1,210.68/x
  3. Step 3: Cross multiply
    3,401.70x = 5,102.94 × 1,210.68
  4. Step 4: Simplify right side
    3,401.70x = 6,178,027.40
  5. Step 5: Solve for x
    x = 6,178,027.40/3,401.70
  6. Step 6: Final answer
    x = 1,816.16

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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.