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Finding the Fourth Proportional to 1,670.18, 2,305.59 and 998.22

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Solution

The fourth proportional to 1,670.18, 2,305.59 and 998.22 is: 1,377.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,670.18 : 2,305.59 = 998.22 : x
  2. Step 2: Convert to fraction form
    1,670.18/2,305.59 = 998.22/x
  3. Step 3: Cross multiply
    1,670.18x = 2,305.59 × 998.22
  4. Step 4: Simplify right side
    1,670.18x = 2,301,486.05
  5. Step 5: Solve for x
    x = 2,301,486.05/1,670.18
  6. Step 6: Final answer
    x = 1,377.99

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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.