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Finding the Fourth Proportional to 1,837.34, 2,535.27 and 1,051.22

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Solution

The fourth proportional to 1,837.34, 2,535.27 and 1,051.22 is: 1,450.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.34 : 2,535.27 = 1,051.22 : x
  2. Step 2: Convert to fraction form
    1,837.34/2,535.27 = 1,051.22/x
  3. Step 3: Cross multiply
    1,837.34x = 2,535.27 × 1,051.22
  4. Step 4: Simplify right side
    1,837.34x = 2,665,126.53
  5. Step 5: Solve for x
    x = 2,665,126.53/1,837.34
  6. Step 6: Final answer
    x = 1,450.54

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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.