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Finding the Fourth Proportional to 1,955.27, 2,932.86 and 568.99

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Solution

The fourth proportional to 1,955.27, 2,932.86 and 568.99 is: 853.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.27 : 2,932.86 = 568.99 : x
  2. Step 2: Convert to fraction form
    1,955.27/2,932.86 = 568.99/x
  3. Step 3: Cross multiply
    1,955.27x = 2,932.86 × 568.99
  4. Step 4: Simplify right side
    1,955.27x = 1,668,770.61
  5. Step 5: Solve for x
    x = 1,668,770.61/1,955.27
  6. Step 6: Final answer
    x = 853.47

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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.