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Finding the Fourth Proportional to 2,263.36, 3,394.21 and 782.21

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Solution

The fourth proportional to 2,263.36, 3,394.21 and 782.21 is: 1,173.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,263.36 : 3,394.21 = 782.21 : x
  2. Step 2: Convert to fraction form
    2,263.36/3,394.21 = 782.21/x
  3. Step 3: Cross multiply
    2,263.36x = 3,394.21 × 782.21
  4. Step 4: Simplify right side
    2,263.36x = 2,654,966.08
  5. Step 5: Solve for x
    x = 2,654,966.08/2,263.36
  6. Step 6: Final answer
    x = 1,173.02

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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.