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Finding the Fourth Proportional to 1,897.62, 2,618.64 and 1,100.96

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Solution

The fourth proportional to 1,897.62, 2,618.64 and 1,100.96 is: 1,519.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.62 : 2,618.64 = 1,100.96 : x
  2. Step 2: Convert to fraction form
    1,897.62/2,618.64 = 1,100.96/x
  3. Step 3: Cross multiply
    1,897.62x = 2,618.64 × 1,100.96
  4. Step 4: Simplify right side
    1,897.62x = 2,883,017.89
  5. Step 5: Solve for x
    x = 2,883,017.89/1,897.62
  6. Step 6: Final answer
    x = 1,519.28

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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.