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Finding the Fourth Proportional to 1,801.12, 2,485.20 and 1,102

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Solution

The fourth proportional to 1,801.12, 2,485.20 and 1,102 is: 1,520.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,801.12 : 2,485.20 = 1,102 : x
  2. Step 2: Convert to fraction form
    1,801.12/2,485.20 = 1,102/x
  3. Step 3: Cross multiply
    1,801.12x = 2,485.20 × 1,102
  4. Step 4: Simplify right side
    1,801.12x = 2,738,690.40
  5. Step 5: Solve for x
    x = 2,738,690.40/1,801.12
  6. Step 6: Final answer
    x = 1,520.55

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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.