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Finding the Fourth Proportional to 1,782.86, 2,675.30 and 961.11

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Solution

The fourth proportional to 1,782.86, 2,675.30 and 961.11 is: 1,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.86 : 2,675.30 = 961.11 : x
  2. Step 2: Convert to fraction form
    1,782.86/2,675.30 = 961.11/x
  3. Step 3: Cross multiply
    1,782.86x = 2,675.30 × 961.11
  4. Step 4: Simplify right side
    1,782.86x = 2,571,252.78
  5. Step 5: Solve for x
    x = 2,571,252.78/1,782.86
  6. Step 6: Final answer
    x = 1,442.21

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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.