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Finding the Fourth Proportional to 2,855.40, 4,283.06 and 907.62

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Solution

The fourth proportional to 2,855.40, 4,283.06 and 907.62 is: 1,361.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.40 : 4,283.06 = 907.62 : x
  2. Step 2: Convert to fraction form
    2,855.40/4,283.06 = 907.62/x
  3. Step 3: Cross multiply
    2,855.40x = 4,283.06 × 907.62
  4. Step 4: Simplify right side
    2,855.40x = 3,887,390.92
  5. Step 5: Solve for x
    x = 3,887,390.92/2,855.40
  6. Step 6: Final answer
    x = 1,361.42

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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.