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Finding the Fourth Proportional to 1,879.61, 2,820.77 and 784.13

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Solution

The fourth proportional to 1,879.61, 2,820.77 and 784.13 is: 1,176.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879.61 : 2,820.77 = 784.13 : x
  2. Step 2: Convert to fraction form
    1,879.61/2,820.77 = 784.13/x
  3. Step 3: Cross multiply
    1,879.61x = 2,820.77 × 784.13
  4. Step 4: Simplify right side
    1,879.61x = 2,211,846.46
  5. Step 5: Solve for x
    x = 2,211,846.46/1,879.61
  6. Step 6: Final answer
    x = 1,176.76

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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.