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Finding the Fourth Proportional to 2,492.30, 3,742.68 and 2,392.98

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Solution

The fourth proportional to 2,492.30, 3,742.68 and 2,392.98 is: 3,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.30 : 3,742.68 = 2,392.98 : x
  2. Step 2: Convert to fraction form
    2,492.30/3,742.68 = 2,392.98/x
  3. Step 3: Cross multiply
    2,492.30x = 3,742.68 × 2,392.98
  4. Step 4: Simplify right side
    2,492.30x = 8,956,158.39
  5. Step 5: Solve for x
    x = 8,956,158.39/2,492.30
  6. Step 6: Final answer
    x = 3,593.53

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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.