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Finding the Fourth Proportional to 2,164.56, 3,252.05 and 1,386.08

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Solution

The fourth proportional to 2,164.56, 3,252.05 and 1,386.08 is: 2,082.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 3,252.05 = 1,386.08 : x
  2. Step 2: Convert to fraction form
    2,164.56/3,252.05 = 1,386.08/x
  3. Step 3: Cross multiply
    2,164.56x = 3,252.05 × 1,386.08
  4. Step 4: Simplify right side
    2,164.56x = 4,507,578.27
  5. Step 5: Solve for x
    x = 4,507,578.27/2,164.56
  6. Step 6: Final answer
    x = 2,082.45

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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.