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Finding the Fourth Proportional to 1,971.12, 2,956.26 and 584.47

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Solution

The fourth proportional to 1,971.12, 2,956.26 and 584.47 is: 876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.12 : 2,956.26 = 584.47 : x
  2. Step 2: Convert to fraction form
    1,971.12/2,956.26 = 584.47/x
  3. Step 3: Cross multiply
    1,971.12x = 2,956.26 × 584.47
  4. Step 4: Simplify right side
    1,971.12x = 1,727,851.17
  5. Step 5: Solve for x
    x = 1,727,851.17/1,971.12
  6. Step 6: Final answer
    x = 876.58

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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.