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Finding the Fourth Proportional to 2,359.89, 3,539.84 and 716.43

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Solution

The fourth proportional to 2,359.89, 3,539.84 and 716.43 is: 1,074.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,359.89 : 3,539.84 = 716.43 : x
  2. Step 2: Convert to fraction form
    2,359.89/3,539.84 = 716.43/x
  3. Step 3: Cross multiply
    2,359.89x = 3,539.84 × 716.43
  4. Step 4: Simplify right side
    2,359.89x = 2,536,043.99
  5. Step 5: Solve for x
    x = 2,536,043.99/2,359.89
  6. Step 6: Final answer
    x = 1,074.65

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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.