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Finding the Fourth Proportional to 1,462.06, 2,016.93 and 1,063.10

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Solution

The fourth proportional to 1,462.06, 2,016.93 and 1,063.10 is: 1,466.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.06 : 2,016.93 = 1,063.10 : x
  2. Step 2: Convert to fraction form
    1,462.06/2,016.93 = 1,063.10/x
  3. Step 3: Cross multiply
    1,462.06x = 2,016.93 × 1,063.10
  4. Step 4: Simplify right side
    1,462.06x = 2,144,202.27
  5. Step 5: Solve for x
    x = 2,144,202.27/1,462.06
  6. Step 6: Final answer
    x = 1,466.57

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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.