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Finding the Fourth Proportional to 1,897.40, 2,619.06 and 1,638.20

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Solution

The fourth proportional to 1,897.40, 2,619.06 and 1,638.20 is: 2,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.40 : 2,619.06 = 1,638.20 : x
  2. Step 2: Convert to fraction form
    1,897.40/2,619.06 = 1,638.20/x
  3. Step 3: Cross multiply
    1,897.40x = 2,619.06 × 1,638.20
  4. Step 4: Simplify right side
    1,897.40x = 4,290,544.09
  5. Step 5: Solve for x
    x = 4,290,544.09/1,897.40
  6. Step 6: Final answer
    x = 2,261.28

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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.