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Finding the Fourth Proportional to 1,631.40, 2,435.25 and 1,511.25

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Solution

The fourth proportional to 1,631.40, 2,435.25 and 1,511.25 is: 2,255.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.40 : 2,435.25 = 1,511.25 : x
  2. Step 2: Convert to fraction form
    1,631.40/2,435.25 = 1,511.25/x
  3. Step 3: Cross multiply
    1,631.40x = 2,435.25 × 1,511.25
  4. Step 4: Simplify right side
    1,631.40x = 3,680,271.56
  5. Step 5: Solve for x
    x = 3,680,271.56/1,631.40
  6. Step 6: Final answer
    x = 2,255.90

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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.