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Finding the Fourth Proportional to 1,585.26, 2,188.26 and 1,419.17

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Solution

The fourth proportional to 1,585.26, 2,188.26 and 1,419.17 is: 1,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,585.26 : 2,188.26 = 1,419.17 : x
  2. Step 2: Convert to fraction form
    1,585.26/2,188.26 = 1,419.17/x
  3. Step 3: Cross multiply
    1,585.26x = 2,188.26 × 1,419.17
  4. Step 4: Simplify right side
    1,585.26x = 3,105,502.00
  5. Step 5: Solve for x
    x = 3,105,502.00/1,585.26
  6. Step 6: Final answer
    x = 1,958.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.