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Finding the Fourth Proportional to 1,806.76, 2,492.58 and 1,217.48

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Solution

The fourth proportional to 1,806.76, 2,492.58 and 1,217.48 is: 1,679.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.76 : 2,492.58 = 1,217.48 : x
  2. Step 2: Convert to fraction form
    1,806.76/2,492.58 = 1,217.48/x
  3. Step 3: Cross multiply
    1,806.76x = 2,492.58 × 1,217.48
  4. Step 4: Simplify right side
    1,806.76x = 3,034,666.30
  5. Step 5: Solve for x
    x = 3,034,666.30/1,806.76
  6. Step 6: Final answer
    x = 1,679.62

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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.