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Finding the Fourth Proportional to 1,815.84, 2,721.12 and 774.42

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Solution

The fourth proportional to 1,815.84, 2,721.12 and 774.42 is: 1,160.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.84 : 2,721.12 = 774.42 : x
  2. Step 2: Convert to fraction form
    1,815.84/2,721.12 = 774.42/x
  3. Step 3: Cross multiply
    1,815.84x = 2,721.12 × 774.42
  4. Step 4: Simplify right side
    1,815.84x = 2,107,289.75
  5. Step 5: Solve for x
    x = 2,107,289.75/1,815.84
  6. Step 6: Final answer
    x = 1,160.50

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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.