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Finding the Fourth Proportional to 1,916.81, 2,638.68 and 1,418.51

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Solution

The fourth proportional to 1,916.81, 2,638.68 and 1,418.51 is: 1,952.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,916.81 : 2,638.68 = 1,418.51 : x
  2. Step 2: Convert to fraction form
    1,916.81/2,638.68 = 1,418.51/x
  3. Step 3: Cross multiply
    1,916.81x = 2,638.68 × 1,418.51
  4. Step 4: Simplify right side
    1,916.81x = 3,742,995.24
  5. Step 5: Solve for x
    x = 3,742,995.24/1,916.81
  6. Step 6: Final answer
    x = 1,952.72

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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.