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Finding the Fourth Proportional to 1,395.27, 1,925.41 and 836.05

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Solution

The fourth proportional to 1,395.27, 1,925.41 and 836.05 is: 1,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.27 : 1,925.41 = 836.05 : x
  2. Step 2: Convert to fraction form
    1,395.27/1,925.41 = 836.05/x
  3. Step 3: Cross multiply
    1,395.27x = 1,925.41 × 836.05
  4. Step 4: Simplify right side
    1,395.27x = 1,609,737.30
  5. Step 5: Solve for x
    x = 1,609,737.30/1,395.27
  6. Step 6: Final answer
    x = 1,153.71

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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.