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Finding the Fourth Proportional to 2,950.95, 4,427.46 and 1,307.64

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Solution

The fourth proportional to 2,950.95, 4,427.46 and 1,307.64 is: 1,961.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.95 : 4,427.46 = 1,307.64 : x
  2. Step 2: Convert to fraction form
    2,950.95/4,427.46 = 1,307.64/x
  3. Step 3: Cross multiply
    2,950.95x = 4,427.46 × 1,307.64
  4. Step 4: Simplify right side
    2,950.95x = 5,789,523.79
  5. Step 5: Solve for x
    x = 5,789,523.79/2,950.95
  6. Step 6: Final answer
    x = 1,961.92

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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.