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Finding the Fourth Proportional to 1,618.34, 2,233.51 and 919.85

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Solution

The fourth proportional to 1,618.34, 2,233.51 and 919.85 is: 1,269.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.34 : 2,233.51 = 919.85 : x
  2. Step 2: Convert to fraction form
    1,618.34/2,233.51 = 919.85/x
  3. Step 3: Cross multiply
    1,618.34x = 2,233.51 × 919.85
  4. Step 4: Simplify right side
    1,618.34x = 2,054,480.71
  5. Step 5: Solve for x
    x = 2,054,480.71/1,618.34
  6. Step 6: Final answer
    x = 1,269.50

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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.