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Finding the Fourth Proportional to 2,168.61, 3,256.49 and 1,897.03

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Solution

The fourth proportional to 2,168.61, 3,256.49 and 1,897.03 is: 2,848.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168.61 : 3,256.49 = 1,897.03 : x
  2. Step 2: Convert to fraction form
    2,168.61/3,256.49 = 1,897.03/x
  3. Step 3: Cross multiply
    2,168.61x = 3,256.49 × 1,897.03
  4. Step 4: Simplify right side
    2,168.61x = 6,177,659.22
  5. Step 5: Solve for x
    x = 6,177,659.22/2,168.61
  6. Step 6: Final answer
    x = 2,848.67

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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.