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Finding the Fourth Proportional to 2,764.48, 4,142.40 and 1,464.16

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Solution

The fourth proportional to 2,764.48, 4,142.40 and 1,464.16 is: 2,193.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764.48 : 4,142.40 = 1,464.16 : x
  2. Step 2: Convert to fraction form
    2,764.48/4,142.40 = 1,464.16/x
  3. Step 3: Cross multiply
    2,764.48x = 4,142.40 × 1,464.16
  4. Step 4: Simplify right side
    2,764.48x = 6,065,136.38
  5. Step 5: Solve for x
    x = 6,065,136.38/2,764.48
  6. Step 6: Final answer
    x = 2,193.95

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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.