Home / 2,123.12-3,184.68-584.24

Finding the Fourth Proportional to 2,123.12, 3,184.68 and 584.24

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Solution

The fourth proportional to 2,123.12, 3,184.68 and 584.24 is: 876.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.12 : 3,184.68 = 584.24 : x
  2. Step 2: Convert to fraction form
    2,123.12/3,184.68 = 584.24/x
  3. Step 3: Cross multiply
    2,123.12x = 3,184.68 × 584.24
  4. Step 4: Simplify right side
    2,123.12x = 1,860,617.44
  5. Step 5: Solve for x
    x = 1,860,617.44/2,123.12
  6. Step 6: Final answer
    x = 876.36

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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.