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Finding the Fourth Proportional to 1,800.53, 2,485.88 and 1,469.75

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Solution

The fourth proportional to 1,800.53, 2,485.88 and 1,469.75 is: 2,029.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800.53 : 2,485.88 = 1,469.75 : x
  2. Step 2: Convert to fraction form
    1,800.53/2,485.88 = 1,469.75/x
  3. Step 3: Cross multiply
    1,800.53x = 2,485.88 × 1,469.75
  4. Step 4: Simplify right side
    1,800.53x = 3,653,602.35
  5. Step 5: Solve for x
    x = 3,653,602.35/1,800.53
  6. Step 6: Final answer
    x = 2,029.19

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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.