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Finding the Fourth Proportional to 1,389.51, 1,916.73 and 991.26

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Solution

The fourth proportional to 1,389.51, 1,916.73 and 991.26 is: 1,367.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,389.51 : 1,916.73 = 991.26 : x
  2. Step 2: Convert to fraction form
    1,389.51/1,916.73 = 991.26/x
  3. Step 3: Cross multiply
    1,389.51x = 1,916.73 × 991.26
  4. Step 4: Simplify right side
    1,389.51x = 1,899,977.78
  5. Step 5: Solve for x
    x = 1,899,977.78/1,389.51
  6. Step 6: Final answer
    x = 1,367.37

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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.