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Finding the Fourth Proportional to 2,638.98, 3,958.81 and 1,702.67

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Solution

The fourth proportional to 2,638.98, 3,958.81 and 1,702.67 is: 2,554.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.98 : 3,958.81 = 1,702.67 : x
  2. Step 2: Convert to fraction form
    2,638.98/3,958.81 = 1,702.67/x
  3. Step 3: Cross multiply
    2,638.98x = 3,958.81 × 1,702.67
  4. Step 4: Simplify right side
    2,638.98x = 6,740,547.02
  5. Step 5: Solve for x
    x = 6,740,547.02/2,638.98
  6. Step 6: Final answer
    x = 2,554.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.