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Finding the Fourth Proportional to 2,105.06, 3,157.63 and 1,065.56

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Solution

The fourth proportional to 2,105.06, 3,157.63 and 1,065.56 is: 1,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105.06 : 3,157.63 = 1,065.56 : x
  2. Step 2: Convert to fraction form
    2,105.06/3,157.63 = 1,065.56/x
  3. Step 3: Cross multiply
    2,105.06x = 3,157.63 × 1,065.56
  4. Step 4: Simplify right side
    2,105.06x = 3,364,631.76
  5. Step 5: Solve for x
    x = 3,364,631.76/2,105.06
  6. Step 6: Final answer
    x = 1,598.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.