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Finding the Fourth Proportional to 1,518.23, 2,276.93 and 422.35

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Solution

The fourth proportional to 1,518.23, 2,276.93 and 422.35 is: 633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,518.23 : 2,276.93 = 422.35 : x
  2. Step 2: Convert to fraction form
    1,518.23/2,276.93 = 422.35/x
  3. Step 3: Cross multiply
    1,518.23x = 2,276.93 × 422.35
  4. Step 4: Simplify right side
    1,518.23x = 961,656.75
  5. Step 5: Solve for x
    x = 961,656.75/1,518.23
  6. Step 6: Final answer
    x = 633.41

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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.