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Finding the Fourth Proportional to 2,955.69, 4,434.30 and 1,311.84

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Solution

The fourth proportional to 2,955.69, 4,434.30 and 1,311.84 is: 1,968.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,955.69 : 4,434.30 = 1,311.84 : x
  2. Step 2: Convert to fraction form
    2,955.69/4,434.30 = 1,311.84/x
  3. Step 3: Cross multiply
    2,955.69x = 4,434.30 × 1,311.84
  4. Step 4: Simplify right side
    2,955.69x = 5,817,092.11
  5. Step 5: Solve for x
    x = 5,817,092.11/2,955.69
  6. Step 6: Final answer
    x = 1,968.10

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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.