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Finding the Fourth Proportional to 1,762.17, 2,656.23 and 1,614.29

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Solution

The fourth proportional to 1,762.17, 2,656.23 and 1,614.29 is: 2,433.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,762.17 : 2,656.23 = 1,614.29 : x
  2. Step 2: Convert to fraction form
    1,762.17/2,656.23 = 1,614.29/x
  3. Step 3: Cross multiply
    1,762.17x = 2,656.23 × 1,614.29
  4. Step 4: Simplify right side
    1,762.17x = 4,287,912.25
  5. Step 5: Solve for x
    x = 4,287,912.25/1,762.17
  6. Step 6: Final answer
    x = 2,433.31

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.