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Finding the Fourth Proportional to 1,631.34, 2,435.19 and 1,434.29

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Solution

The fourth proportional to 1,631.34, 2,435.19 and 1,434.29 is: 2,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.34 : 2,435.19 = 1,434.29 : x
  2. Step 2: Convert to fraction form
    1,631.34/2,435.19 = 1,434.29/x
  3. Step 3: Cross multiply
    1,631.34x = 2,435.19 × 1,434.29
  4. Step 4: Simplify right side
    1,631.34x = 3,492,766.03
  5. Step 5: Solve for x
    x = 3,492,766.03/1,631.34
  6. Step 6: Final answer
    x = 2,141.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.