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Finding the Fourth Proportional to 3,205.74, 4,809.12 and 1,014.99

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Solution

The fourth proportional to 3,205.74, 4,809.12 and 1,014.99 is: 1,522.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.74 : 4,809.12 = 1,014.99 : x
  2. Step 2: Convert to fraction form
    3,205.74/4,809.12 = 1,014.99/x
  3. Step 3: Cross multiply
    3,205.74x = 4,809.12 × 1,014.99
  4. Step 4: Simplify right side
    3,205.74x = 4,881,208.71
  5. Step 5: Solve for x
    x = 4,881,208.71/3,205.74
  6. Step 6: Final answer
    x = 1,522.65

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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.