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Finding the Fourth Proportional to 1,614.90, 2,214.04 and 1,585.74

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Solution

The fourth proportional to 1,614.90, 2,214.04 and 1,585.74 is: 2,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,614.90 : 2,214.04 = 1,585.74 : x
  2. Step 2: Convert to fraction form
    1,614.90/2,214.04 = 1,585.74/x
  3. Step 3: Cross multiply
    1,614.90x = 2,214.04 × 1,585.74
  4. Step 4: Simplify right side
    1,614.90x = 3,510,891.79
  5. Step 5: Solve for x
    x = 3,510,891.79/1,614.90
  6. Step 6: Final answer
    x = 2,174.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.