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Finding the Fourth Proportional to 2,470.98, 3,410.81 and 1,423.46

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Solution

The fourth proportional to 2,470.98, 3,410.81 and 1,423.46 is: 1,964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,470.98 : 3,410.81 = 1,423.46 : x
  2. Step 2: Convert to fraction form
    2,470.98/3,410.81 = 1,423.46/x
  3. Step 3: Cross multiply
    2,470.98x = 3,410.81 × 1,423.46
  4. Step 4: Simplify right side
    2,470.98x = 4,855,151.60
  5. Step 5: Solve for x
    x = 4,855,151.60/2,470.98
  6. Step 6: Final answer
    x = 1,964.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.