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Finding the Fourth Proportional to 1,961.52, 2,941.52 and 1,412.08

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Solution

The fourth proportional to 1,961.52, 2,941.52 and 1,412.08 is: 2,117.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,961.52 : 2,941.52 = 1,412.08 : x
  2. Step 2: Convert to fraction form
    1,961.52/2,941.52 = 1,412.08/x
  3. Step 3: Cross multiply
    1,961.52x = 2,941.52 × 1,412.08
  4. Step 4: Simplify right side
    1,961.52x = 4,153,661.56
  5. Step 5: Solve for x
    x = 4,153,661.56/1,961.52
  6. Step 6: Final answer
    x = 2,117.57

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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.