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Finding the Fourth Proportional to 1,580.26, 2,367.26 and 1,490.34

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Solution

The fourth proportional to 1,580.26, 2,367.26 and 1,490.34 is: 2,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,580.26 : 2,367.26 = 1,490.34 : x
  2. Step 2: Convert to fraction form
    1,580.26/2,367.26 = 1,490.34/x
  3. Step 3: Cross multiply
    1,580.26x = 2,367.26 × 1,490.34
  4. Step 4: Simplify right side
    1,580.26x = 3,528,022.27
  5. Step 5: Solve for x
    x = 3,528,022.27/1,580.26
  6. Step 6: Final answer
    x = 2,232.56

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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.