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Finding the Fourth Proportional to 2,404.93, 3,318.46 and 1,410.52

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Solution

The fourth proportional to 2,404.93, 3,318.46 and 1,410.52 is: 1,946.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.93 : 3,318.46 = 1,410.52 : x
  2. Step 2: Convert to fraction form
    2,404.93/3,318.46 = 1,410.52/x
  3. Step 3: Cross multiply
    2,404.93x = 3,318.46 × 1,410.52
  4. Step 4: Simplify right side
    2,404.93x = 4,680,754.20
  5. Step 5: Solve for x
    x = 4,680,754.20/2,404.93
  6. Step 6: Final answer
    x = 1,946.32

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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.