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Finding the Fourth Proportional to 2,638.12, 3,640 and 1,754.40

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Solution

The fourth proportional to 2,638.12, 3,640 and 1,754.40 is: 2,420.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,638.12 : 3,640 = 1,754.40 : x
  2. Step 2: Convert to fraction form
    2,638.12/3,640 = 1,754.40/x
  3. Step 3: Cross multiply
    2,638.12x = 3,640 × 1,754.40
  4. Step 4: Simplify right side
    2,638.12x = 6,386,016
  5. Step 5: Solve for x
    x = 6,386,016/2,638.12
  6. Step 6: Final answer
    x = 2,420.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.