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Finding the Fourth Proportional to 2,964.94, 4,451.51 and 1,505.11

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Solution

The fourth proportional to 2,964.94, 4,451.51 and 1,505.11 is: 2,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,964.94 : 4,451.51 = 1,505.11 : x
  2. Step 2: Convert to fraction form
    2,964.94/4,451.51 = 1,505.11/x
  3. Step 3: Cross multiply
    2,964.94x = 4,451.51 × 1,505.11
  4. Step 4: Simplify right side
    2,964.94x = 6,700,012.22
  5. Step 5: Solve for x
    x = 6,700,012.22/2,964.94
  6. Step 6: Final answer
    x = 2,259.75

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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.