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Finding the Fourth Proportional to 1,428.15, 1,971.49 and 838.72

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Solution

The fourth proportional to 1,428.15, 1,971.49 and 838.72 is: 1,157.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.15 : 1,971.49 = 838.72 : x
  2. Step 2: Convert to fraction form
    1,428.15/1,971.49 = 838.72/x
  3. Step 3: Cross multiply
    1,428.15x = 1,971.49 × 838.72
  4. Step 4: Simplify right side
    1,428.15x = 1,653,523.90
  5. Step 5: Solve for x
    x = 1,653,523.90/1,428.15
  6. Step 6: Final answer
    x = 1,157.81

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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.