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Finding the Fourth Proportional to 2,492.96, 3,744.30 and 2,031.08

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Solution

The fourth proportional to 2,492.96, 3,744.30 and 2,031.08 is: 3,050.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.96 : 3,744.30 = 2,031.08 : x
  2. Step 2: Convert to fraction form
    2,492.96/3,744.30 = 2,031.08/x
  3. Step 3: Cross multiply
    2,492.96x = 3,744.30 × 2,031.08
  4. Step 4: Simplify right side
    2,492.96x = 7,604,972.84
  5. Step 5: Solve for x
    x = 7,604,972.84/2,492.96
  6. Step 6: Final answer
    x = 3,050.58

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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.