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Finding the Fourth Proportional to 2,103.42, 2,903.06 and 1,605.12

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Solution

The fourth proportional to 2,103.42, 2,903.06 and 1,605.12 is: 2,215.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,103.42 : 2,903.06 = 1,605.12 : x
  2. Step 2: Convert to fraction form
    2,103.42/2,903.06 = 1,605.12/x
  3. Step 3: Cross multiply
    2,103.42x = 2,903.06 × 1,605.12
  4. Step 4: Simplify right side
    2,103.42x = 4,659,759.67
  5. Step 5: Solve for x
    x = 4,659,759.67/2,103.42
  6. Step 6: Final answer
    x = 2,215.33

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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.