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Finding the Fourth Proportional to 1,806.10, 2,492.32 and 1,166.92

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Solution

The fourth proportional to 1,806.10, 2,492.32 and 1,166.92 is: 1,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.10 : 2,492.32 = 1,166.92 : x
  2. Step 2: Convert to fraction form
    1,806.10/2,492.32 = 1,166.92/x
  3. Step 3: Cross multiply
    1,806.10x = 2,492.32 × 1,166.92
  4. Step 4: Simplify right side
    1,806.10x = 2,908,338.05
  5. Step 5: Solve for x
    x = 2,908,338.05/1,806.10
  6. Step 6: Final answer
    x = 1,610.29

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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.