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Finding the Fourth Proportional to 2,153.78, 3,230.36 and 692.74

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Solution

The fourth proportional to 2,153.78, 3,230.36 and 692.74 is: 1,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153.78 : 3,230.36 = 692.74 : x
  2. Step 2: Convert to fraction form
    2,153.78/3,230.36 = 692.74/x
  3. Step 3: Cross multiply
    2,153.78x = 3,230.36 × 692.74
  4. Step 4: Simplify right side
    2,153.78x = 2,237,799.59
  5. Step 5: Solve for x
    x = 2,237,799.59/2,153.78
  6. Step 6: Final answer
    x = 1,039.01

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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.