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Finding the Fourth Proportional to 1,679.49, 2,316.66 and 1,081.80

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Solution

The fourth proportional to 1,679.49, 2,316.66 and 1,081.80 is: 1,492.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,679.49 : 2,316.66 = 1,081.80 : x
  2. Step 2: Convert to fraction form
    1,679.49/2,316.66 = 1,081.80/x
  3. Step 3: Cross multiply
    1,679.49x = 2,316.66 × 1,081.80
  4. Step 4: Simplify right side
    1,679.49x = 2,506,162.79
  5. Step 5: Solve for x
    x = 2,506,162.79/1,679.49
  6. Step 6: Final answer
    x = 1,492.22

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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.