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Finding the Fourth Proportional to 1,535.63, 2,104.41 and 1,388.01

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Solution

The fourth proportional to 1,535.63, 2,104.41 and 1,388.01 is: 1,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.63 : 2,104.41 = 1,388.01 : x
  2. Step 2: Convert to fraction form
    1,535.63/2,104.41 = 1,388.01/x
  3. Step 3: Cross multiply
    1,535.63x = 2,104.41 × 1,388.01
  4. Step 4: Simplify right side
    1,535.63x = 2,920,942.12
  5. Step 5: Solve for x
    x = 2,920,942.12/1,535.63
  6. Step 6: Final answer
    x = 1,902.11

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.