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Finding the Fourth Proportional to 1,955.40, 2,932.98 and 568.70

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Solution

The fourth proportional to 1,955.40, 2,932.98 and 568.70 is: 853.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,955.40 : 2,932.98 = 568.70 : x
  2. Step 2: Convert to fraction form
    1,955.40/2,932.98 = 568.70/x
  3. Step 3: Cross multiply
    1,955.40x = 2,932.98 × 568.70
  4. Step 4: Simplify right side
    1,955.40x = 1,667,985.73
  5. Step 5: Solve for x
    x = 1,667,985.73/1,955.40
  6. Step 6: Final answer
    x = 853.02

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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.