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Finding the Fourth Proportional to 2,449.12, 3,673.14 and 717.34

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Solution

The fourth proportional to 2,449.12, 3,673.14 and 717.34 is: 1,075.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,449.12 : 3,673.14 = 717.34 : x
  2. Step 2: Convert to fraction form
    2,449.12/3,673.14 = 717.34/x
  3. Step 3: Cross multiply
    2,449.12x = 3,673.14 × 717.34
  4. Step 4: Simplify right side
    2,449.12x = 2,634,890.25
  5. Step 5: Solve for x
    x = 2,634,890.25/2,449.12
  6. Step 6: Final answer
    x = 1,075.85

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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.