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Finding the Fourth Proportional to 3,401.91, 5,102.93 and 1,210.65

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Solution

The fourth proportional to 3,401.91, 5,102.93 and 1,210.65 is: 1,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,401.91 : 5,102.93 = 1,210.65 : x
  2. Step 2: Convert to fraction form
    3,401.91/5,102.93 = 1,210.65/x
  3. Step 3: Cross multiply
    3,401.91x = 5,102.93 × 1,210.65
  4. Step 4: Simplify right side
    3,401.91x = 6,177,862.20
  5. Step 5: Solve for x
    x = 6,177,862.20/3,401.91
  6. Step 6: Final answer
    x = 1,816.00

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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.