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Finding the Fourth Proportional to 1,962.36, 2,943.54 and 501.51

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Solution

The fourth proportional to 1,962.36, 2,943.54 and 501.51 is: 752.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,962.36 : 2,943.54 = 501.51 : x
  2. Step 2: Convert to fraction form
    1,962.36/2,943.54 = 501.51/x
  3. Step 3: Cross multiply
    1,962.36x = 2,943.54 × 501.51
  4. Step 4: Simplify right side
    1,962.36x = 1,476,214.75
  5. Step 5: Solve for x
    x = 1,476,214.75/1,962.36
  6. Step 6: Final answer
    x = 752.27

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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.