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Finding the Fourth Proportional to 2,005.93, 3,009.36 and 836.14

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Solution

The fourth proportional to 2,005.93, 3,009.36 and 836.14 is: 1,254.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.93 : 3,009.36 = 836.14 : x
  2. Step 2: Convert to fraction form
    2,005.93/3,009.36 = 836.14/x
  3. Step 3: Cross multiply
    2,005.93x = 3,009.36 × 836.14
  4. Step 4: Simplify right side
    2,005.93x = 2,516,246.27
  5. Step 5: Solve for x
    x = 2,516,246.27/2,005.93
  6. Step 6: Final answer
    x = 1,254.40

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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.