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Finding the Fourth Proportional to 2,976.33, 4,464.71 and 785.01

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Solution

The fourth proportional to 2,976.33, 4,464.71 and 785.01 is: 1,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.33 : 4,464.71 = 785.01 : x
  2. Step 2: Convert to fraction form
    2,976.33/4,464.71 = 785.01/x
  3. Step 3: Cross multiply
    2,976.33x = 4,464.71 × 785.01
  4. Step 4: Simplify right side
    2,976.33x = 3,504,838.07
  5. Step 5: Solve for x
    x = 3,504,838.07/2,976.33
  6. Step 6: Final answer
    x = 1,177.57

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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.