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Finding the Fourth Proportional to 2,719.09, 4,074.18 and 2,492.14

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Solution

The fourth proportional to 2,719.09, 4,074.18 and 2,492.14 is: 3,734.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,719.09 : 4,074.18 = 2,492.14 : x
  2. Step 2: Convert to fraction form
    2,719.09/4,074.18 = 2,492.14/x
  3. Step 3: Cross multiply
    2,719.09x = 4,074.18 × 2,492.14
  4. Step 4: Simplify right side
    2,719.09x = 10,153,426.95
  5. Step 5: Solve for x
    x = 10,153,426.95/2,719.09
  6. Step 6: Final answer
    x = 3,734.13

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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.