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Finding the Fourth Proportional to 2,855.38, 4,282.93 and 907.33

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Solution

The fourth proportional to 2,855.38, 4,282.93 and 907.33 is: 1,360.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,855.38 : 4,282.93 = 907.33 : x
  2. Step 2: Convert to fraction form
    2,855.38/4,282.93 = 907.33/x
  3. Step 3: Cross multiply
    2,855.38x = 4,282.93 × 907.33
  4. Step 4: Simplify right side
    2,855.38x = 3,886,004.93
  5. Step 5: Solve for x
    x = 3,886,004.93/2,855.38
  6. Step 6: Final answer
    x = 1,360.94

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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.