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Finding the Fourth Proportional to 1,837.03, 2,534.97 and 1,051.06

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Solution

The fourth proportional to 1,837.03, 2,534.97 and 1,051.06 is: 1,450.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,837.03 : 2,534.97 = 1,051.06 : x
  2. Step 2: Convert to fraction form
    1,837.03/2,534.97 = 1,051.06/x
  3. Step 3: Cross multiply
    1,837.03x = 2,534.97 × 1,051.06
  4. Step 4: Simplify right side
    1,837.03x = 2,664,405.57
  5. Step 5: Solve for x
    x = 2,664,405.57/1,837.03
  6. Step 6: Final answer
    x = 1,450.39

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Why These Related Problems?

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