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Finding the Fourth Proportional to 2,165.23, 3,245.89 and 778.24

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Solution

The fourth proportional to 2,165.23, 3,245.89 and 778.24 is: 1,166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,165.23 : 3,245.89 = 778.24 : x
  2. Step 2: Convert to fraction form
    2,165.23/3,245.89 = 778.24/x
  3. Step 3: Cross multiply
    2,165.23x = 3,245.89 × 778.24
  4. Step 4: Simplify right side
    2,165.23x = 2,526,075.26
  5. Step 5: Solve for x
    x = 2,526,075.26/2,165.23
  6. Step 6: Final answer
    x = 1,166.66

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1.5x scale

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.