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Finding the Fourth Proportional to 1,608.15, 2,219.29 and 900.02

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Solution

The fourth proportional to 1,608.15, 2,219.29 and 900.02 is: 1,242.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,608.15 : 2,219.29 = 900.02 : x
  2. Step 2: Convert to fraction form
    1,608.15/2,219.29 = 900.02/x
  3. Step 3: Cross multiply
    1,608.15x = 2,219.29 × 900.02
  4. Step 4: Simplify right side
    1,608.15x = 1,997,391.81
  5. Step 5: Solve for x
    x = 1,997,391.81/1,608.15
  6. Step 6: Final answer
    x = 1,242.05

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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.