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Finding the Fourth Proportional to 1,955.14, 2,932.80 and 568.45

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Solution

The fourth proportional to 1,955.14, 2,932.80 and 568.45 is: 852.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.14 : 2,932.80 = 568.45 : x
  2. Step 2: Convert to fraction form
    1,955.14/2,932.80 = 568.45/x
  3. Step 3: Cross multiply
    1,955.14x = 2,932.80 × 568.45
  4. Step 4: Simplify right side
    1,955.14x = 1,667,148.31
  5. Step 5: Solve for x
    x = 1,667,148.31/1,955.14
  6. Step 6: Final answer
    x = 852.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.