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Finding the Fourth Proportional to 2,557.65, 3,836.48 and 1,410.69

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Solution

The fourth proportional to 2,557.65, 3,836.48 and 1,410.69 is: 2,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,557.65 : 3,836.48 = 1,410.69 : x
  2. Step 2: Convert to fraction form
    2,557.65/3,836.48 = 1,410.69/x
  3. Step 3: Cross multiply
    2,557.65x = 3,836.48 × 1,410.69
  4. Step 4: Simplify right side
    2,557.65x = 5,412,076.92
  5. Step 5: Solve for x
    x = 5,412,076.92/2,557.65
  6. Step 6: Final answer
    x = 2,116.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.