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Finding the Fourth Proportional to 1,897.43, 2,842.63 and 1,591.25

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Solution

The fourth proportional to 1,897.43, 2,842.63 and 1,591.25 is: 2,383.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.43 : 2,842.63 = 1,591.25 : x
  2. Step 2: Convert to fraction form
    1,897.43/2,842.63 = 1,591.25/x
  3. Step 3: Cross multiply
    1,897.43x = 2,842.63 × 1,591.25
  4. Step 4: Simplify right side
    1,897.43x = 4,523,316.80
  5. Step 5: Solve for x
    x = 4,523,316.80/1,897.43
  6. Step 6: Final answer
    x = 2,383.92

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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.