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Finding the Fourth Proportional to 1,839.15, 2,538.03 and 999.86

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Solution

The fourth proportional to 1,839.15, 2,538.03 and 999.86 is: 1,379.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,839.15 : 2,538.03 = 999.86 : x
  2. Step 2: Convert to fraction form
    1,839.15/2,538.03 = 999.86/x
  3. Step 3: Cross multiply
    1,839.15x = 2,538.03 × 999.86
  4. Step 4: Simplify right side
    1,839.15x = 2,537,675.25
  5. Step 5: Solve for x
    x = 2,537,675.25/1,839.15
  6. Step 6: Final answer
    x = 1,379.81

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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.