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Finding the Fourth Proportional to 2,014.68, 3,022.80 and 782.20

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Solution

The fourth proportional to 2,014.68, 3,022.80 and 782.20 is: 1,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,014.68 : 3,022.80 = 782.20 : x
  2. Step 2: Convert to fraction form
    2,014.68/3,022.80 = 782.20/x
  3. Step 3: Cross multiply
    2,014.68x = 3,022.80 × 782.20
  4. Step 4: Simplify right side
    2,014.68x = 2,364,434.16
  5. Step 5: Solve for x
    x = 2,364,434.16/2,014.68
  6. Step 6: Final answer
    x = 1,173.60

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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.