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Finding the Fourth Proportional to 1,897.60, 2,842.68 and 1,691.20

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Solution

The fourth proportional to 1,897.60, 2,842.68 and 1,691.20 is: 2,533.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.60 : 2,842.68 = 1,691.20 : x
  2. Step 2: Convert to fraction form
    1,897.60/2,842.68 = 1,691.20/x
  3. Step 3: Cross multiply
    1,897.60x = 2,842.68 × 1,691.20
  4. Step 4: Simplify right side
    1,897.60x = 4,807,540.42
  5. Step 5: Solve for x
    x = 4,807,540.42/1,897.60
  6. Step 6: Final answer
    x = 2,533.48

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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.