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Finding the Fourth Proportional to 1,801.98, 2,485.44 and 1,138.20

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Solution

The fourth proportional to 1,801.98, 2,485.44 and 1,138.20 is: 1,569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.98 : 2,485.44 = 1,138.20 : x
  2. Step 2: Convert to fraction form
    1,801.98/2,485.44 = 1,138.20/x
  3. Step 3: Cross multiply
    1,801.98x = 2,485.44 × 1,138.20
  4. Step 4: Simplify right side
    1,801.98x = 2,828,927.81
  5. Step 5: Solve for x
    x = 2,828,927.81/1,801.98
  6. Step 6: Final answer
    x = 1,569.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.