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Finding the Fourth Proportional to 1,924.61, 2,887.29 and 692.19

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Solution

The fourth proportional to 1,924.61, 2,887.29 and 692.19 is: 1,038.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,924.61 : 2,887.29 = 692.19 : x
  2. Step 2: Convert to fraction form
    1,924.61/2,887.29 = 692.19/x
  3. Step 3: Cross multiply
    1,924.61x = 2,887.29 × 692.19
  4. Step 4: Simplify right side
    1,924.61x = 1,998,553.27
  5. Step 5: Solve for x
    x = 1,998,553.27/1,924.61
  6. Step 6: Final answer
    x = 1,038.42

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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.