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Finding the Fourth Proportional to 1,897.20, 2,840.68 and 983.28

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Solution

The fourth proportional to 1,897.20, 2,840.68 and 983.28 is: 1,472.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,897.20 : 2,840.68 = 983.28 : x
  2. Step 2: Convert to fraction form
    1,897.20/2,840.68 = 983.28/x
  3. Step 3: Cross multiply
    1,897.20x = 2,840.68 × 983.28
  4. Step 4: Simplify right side
    1,897.20x = 2,793,183.83
  5. Step 5: Solve for x
    x = 2,793,183.83/1,897.20
  6. Step 6: Final answer
    x = 1,472.27

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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.