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Finding the Fourth Proportional to 2,404.65, 3,318.84 and 1,410.51

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Solution

The fourth proportional to 2,404.65, 3,318.84 and 1,410.51 is: 1,946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,404.65 : 3,318.84 = 1,410.51 : x
  2. Step 2: Convert to fraction form
    2,404.65/3,318.84 = 1,410.51/x
  3. Step 3: Cross multiply
    2,404.65x = 3,318.84 × 1,410.51
  4. Step 4: Simplify right side
    2,404.65x = 4,681,269.45
  5. Step 5: Solve for x
    x = 4,681,269.45/2,404.65
  6. Step 6: Final answer
    x = 1,946.75

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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.