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Finding the Fourth Proportional to 1,608.13, 2,219.33 and 900.04

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Solution

The fourth proportional to 1,608.13, 2,219.33 and 900.04 is: 1,242.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.13 : 2,219.33 = 900.04 : x
  2. Step 2: Convert to fraction form
    1,608.13/2,219.33 = 900.04/x
  3. Step 3: Cross multiply
    1,608.13x = 2,219.33 × 900.04
  4. Step 4: Simplify right side
    1,608.13x = 1,997,485.77
  5. Step 5: Solve for x
    x = 1,997,485.77/1,608.13
  6. Step 6: Final answer
    x = 1,242.12

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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.