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Finding the Fourth Proportional to 2,404.88, 3,318.75 and 1,410.18

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Solution

The fourth proportional to 2,404.88, 3,318.75 and 1,410.18 is: 1,946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.88 : 3,318.75 = 1,410.18 : x
  2. Step 2: Convert to fraction form
    2,404.88/3,318.75 = 1,410.18/x
  3. Step 3: Cross multiply
    2,404.88x = 3,318.75 × 1,410.18
  4. Step 4: Simplify right side
    2,404.88x = 4,680,033.94
  5. Step 5: Solve for x
    x = 4,680,033.94/2,404.88
  6. Step 6: Final answer
    x = 1,946.05

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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.