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Finding the Fourth Proportional to 2,824.40, 3,897.34 and 1,645.40

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Solution

The fourth proportional to 2,824.40, 3,897.34 and 1,645.40 is: 2,270.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.40 : 3,897.34 = 1,645.40 : x
  2. Step 2: Convert to fraction form
    2,824.40/3,897.34 = 1,645.40/x
  3. Step 3: Cross multiply
    2,824.40x = 3,897.34 × 1,645.40
  4. Step 4: Simplify right side
    2,824.40x = 6,412,683.24
  5. Step 5: Solve for x
    x = 6,412,683.24/2,824.40
  6. Step 6: Final answer
    x = 2,270.46

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