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Finding the Fourth Proportional to 1,801.02, 2,485.74 and 1,102.80

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Solution

The fourth proportional to 1,801.02, 2,485.74 and 1,102.80 is: 1,522.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.02 : 2,485.74 = 1,102.80 : x
  2. Step 2: Convert to fraction form
    1,801.02/2,485.74 = 1,102.80/x
  3. Step 3: Cross multiply
    1,801.02x = 2,485.74 × 1,102.80
  4. Step 4: Simplify right side
    1,801.02x = 2,741,274.07
  5. Step 5: Solve for x
    x = 2,741,274.07/1,801.02
  6. Step 6: Final answer
    x = 1,522.07

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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.