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Finding the Fourth Proportional to 2,786.07, 4,176.60 and 1,055.91

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Solution

The fourth proportional to 2,786.07, 4,176.60 and 1,055.91 is: 1,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,786.07 : 4,176.60 = 1,055.91 : x
  2. Step 2: Convert to fraction form
    2,786.07/4,176.60 = 1,055.91/x
  3. Step 3: Cross multiply
    2,786.07x = 4,176.60 × 1,055.91
  4. Step 4: Simplify right side
    2,786.07x = 4,410,113.71
  5. Step 5: Solve for x
    x = 4,410,113.71/2,786.07
  6. Step 6: Final answer
    x = 1,582.92

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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.