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Finding the Fourth Proportional to 1,834.28, 2,531.31 and 994.98

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Solution

The fourth proportional to 1,834.28, 2,531.31 and 994.98 is: 1,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,834.28 : 2,531.31 = 994.98 : x
  2. Step 2: Convert to fraction form
    1,834.28/2,531.31 = 994.98/x
  3. Step 3: Cross multiply
    1,834.28x = 2,531.31 × 994.98
  4. Step 4: Simplify right side
    1,834.28x = 2,518,602.82
  5. Step 5: Solve for x
    x = 2,518,602.82/1,834.28
  6. Step 6: Final answer
    x = 1,373.07

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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.