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Finding the Fourth Proportional to 2,404.71, 3,318.81 and 1,410.37

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Solution

The fourth proportional to 2,404.71, 3,318.81 and 1,410.37 is: 1,946.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.71 : 3,318.81 = 1,410.37 : x
  2. Step 2: Convert to fraction form
    2,404.71/3,318.81 = 1,410.37/x
  3. Step 3: Cross multiply
    2,404.71x = 3,318.81 × 1,410.37
  4. Step 4: Simplify right side
    2,404.71x = 4,680,750.06
  5. Step 5: Solve for x
    x = 4,680,750.06/2,404.71
  6. Step 6: Final answer
    x = 1,946.49

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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.