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Finding the Fourth Proportional to 2,764, 4,145.16 and 1,032.40

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Solution

The fourth proportional to 2,764, 4,145.16 and 1,032.40 is: 1,548.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,764 : 4,145.16 = 1,032.40 : x
  2. Step 2: Convert to fraction form
    2,764/4,145.16 = 1,032.40/x
  3. Step 3: Cross multiply
    2,764x = 4,145.16 × 1,032.40
  4. Step 4: Simplify right side
    2,764x = 4,279,463.18
  5. Step 5: Solve for x
    x = 4,279,463.18/2,764
  6. Step 6: Final answer
    x = 1,548.29

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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.