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Finding the Fourth Proportional to 2,993.82, 4,492.62 and 1,145.10

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Solution

The fourth proportional to 2,993.82, 4,492.62 and 1,145.10 is: 1,718.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,993.82 : 4,492.62 = 1,145.10 : x
  2. Step 2: Convert to fraction form
    2,993.82/4,492.62 = 1,145.10/x
  3. Step 3: Cross multiply
    2,993.82x = 4,492.62 × 1,145.10
  4. Step 4: Simplify right side
    2,993.82x = 5,144,499.16
  5. Step 5: Solve for x
    x = 5,144,499.16/2,993.82
  6. Step 6: Final answer
    x = 1,718.37

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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.