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Finding the Fourth Proportional to 1,897.89, 2,842.84 and 1,608.31

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Solution

The fourth proportional to 1,897.89, 2,842.84 and 1,608.31 is: 2,409.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.89 : 2,842.84 = 1,608.31 : x
  2. Step 2: Convert to fraction form
    1,897.89/2,842.84 = 1,608.31/x
  3. Step 3: Cross multiply
    1,897.89x = 2,842.84 × 1,608.31
  4. Step 4: Simplify right side
    1,897.89x = 4,572,168.00
  5. Step 5: Solve for x
    x = 4,572,168.00/1,897.89
  6. Step 6: Final answer
    x = 2,409.08

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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.