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Finding the Fourth Proportional to 2,597.14, 3,893.83 and 1,036.68

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Solution

The fourth proportional to 2,597.14, 3,893.83 and 1,036.68 is: 1,554.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,597.14 : 3,893.83 = 1,036.68 : x
  2. Step 2: Convert to fraction form
    2,597.14/3,893.83 = 1,036.68/x
  3. Step 3: Cross multiply
    2,597.14x = 3,893.83 × 1,036.68
  4. Step 4: Simplify right side
    2,597.14x = 4,036,655.68
  5. Step 5: Solve for x
    x = 4,036,655.68/2,597.14
  6. Step 6: Final answer
    x = 1,554.27

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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.