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Finding the Fourth Proportional to 2,321.99, 3,482.24 and 761.57

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Solution

The fourth proportional to 2,321.99, 3,482.24 and 761.57 is: 1,142.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,321.99 : 3,482.24 = 761.57 : x
  2. Step 2: Convert to fraction form
    2,321.99/3,482.24 = 761.57/x
  3. Step 3: Cross multiply
    2,321.99x = 3,482.24 × 761.57
  4. Step 4: Simplify right side
    2,321.99x = 2,651,969.52
  5. Step 5: Solve for x
    x = 2,651,969.52/2,321.99
  6. Step 6: Final answer
    x = 1,142.11

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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.