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Finding the Fourth Proportional to 2,492.80, 3,739.20 and 2,423.68

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Solution

The fourth proportional to 2,492.80, 3,739.20 and 2,423.68 is: 3,635.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,492.80 : 3,739.20 = 2,423.68 : x
  2. Step 2: Convert to fraction form
    2,492.80/3,739.20 = 2,423.68/x
  3. Step 3: Cross multiply
    2,492.80x = 3,739.20 × 2,423.68
  4. Step 4: Simplify right side
    2,492.80x = 9,062,624.26
  5. Step 5: Solve for x
    x = 9,062,624.26/2,492.80
  6. Step 6: Final answer
    x = 3,635.52

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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.