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Finding the Fourth Proportional to 2,252.88, 3,379.37 and 692.93

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Solution

The fourth proportional to 2,252.88, 3,379.37 and 692.93 is: 1,039.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252.88 : 3,379.37 = 692.93 : x
  2. Step 2: Convert to fraction form
    2,252.88/3,379.37 = 692.93/x
  3. Step 3: Cross multiply
    2,252.88x = 3,379.37 × 692.93
  4. Step 4: Simplify right side
    2,252.88x = 2,341,646.49
  5. Step 5: Solve for x
    x = 2,341,646.49/2,252.88
  6. Step 6: Final answer
    x = 1,039.40

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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.