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Finding the Fourth Proportional to 1,618.38, 2,426.12 and 740.42

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Solution

The fourth proportional to 1,618.38, 2,426.12 and 740.42 is: 1,109.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,618.38 : 2,426.12 = 740.42 : x
  2. Step 2: Convert to fraction form
    1,618.38/2,426.12 = 740.42/x
  3. Step 3: Cross multiply
    1,618.38x = 2,426.12 × 740.42
  4. Step 4: Simplify right side
    1,618.38x = 1,796,347.77
  5. Step 5: Solve for x
    x = 1,796,347.77/1,618.38
  6. Step 6: Final answer
    x = 1,109.97

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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.