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Finding the Fourth Proportional to 1,619.64, 2,237.12 and 1,462.19

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Solution

The fourth proportional to 1,619.64, 2,237.12 and 1,462.19 is: 2,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,619.64 : 2,237.12 = 1,462.19 : x
  2. Step 2: Convert to fraction form
    1,619.64/2,237.12 = 1,462.19/x
  3. Step 3: Cross multiply
    1,619.64x = 2,237.12 × 1,462.19
  4. Step 4: Simplify right side
    1,619.64x = 3,271,092.77
  5. Step 5: Solve for x
    x = 3,271,092.77/1,619.64
  6. Step 6: Final answer
    x = 2,019.65

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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.