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Finding the Fourth Proportional to 1,968.88, 2,952.43 and 581.74

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Solution

The fourth proportional to 1,968.88, 2,952.43 and 581.74 is: 872.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,968.88 : 2,952.43 = 581.74 : x
  2. Step 2: Convert to fraction form
    1,968.88/2,952.43 = 581.74/x
  3. Step 3: Cross multiply
    1,968.88x = 2,952.43 × 581.74
  4. Step 4: Simplify right side
    1,968.88x = 1,717,531.87
  5. Step 5: Solve for x
    x = 1,717,531.87/1,968.88
  6. Step 6: Final answer
    x = 872.34

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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.