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Finding the Fourth Proportional to 1,897.89, 2,840.73 and 1,018.17

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Solution

The fourth proportional to 1,897.89, 2,840.73 and 1,018.17 is: 1,523.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.89 : 2,840.73 = 1,018.17 : x
  2. Step 2: Convert to fraction form
    1,897.89/2,840.73 = 1,018.17/x
  3. Step 3: Cross multiply
    1,897.89x = 2,840.73 × 1,018.17
  4. Step 4: Simplify right side
    1,897.89x = 2,892,346.06
  5. Step 5: Solve for x
    x = 2,892,346.06/1,897.89
  6. Step 6: Final answer
    x = 1,523.98

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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.