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Finding the Fourth Proportional to 2,014.94, 3,022.13 and 782.24

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Solution

The fourth proportional to 2,014.94, 3,022.13 and 782.24 is: 1,173.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.94 : 3,022.13 = 782.24 : x
  2. Step 2: Convert to fraction form
    2,014.94/3,022.13 = 782.24/x
  3. Step 3: Cross multiply
    2,014.94x = 3,022.13 × 782.24
  4. Step 4: Simplify right side
    2,014.94x = 2,364,011.95
  5. Step 5: Solve for x
    x = 2,364,011.95/2,014.94
  6. Step 6: Final answer
    x = 1,173.24

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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.