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Finding the Fourth Proportional to 2,457.84, 3,684.24 and 996

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Solution

The fourth proportional to 2,457.84, 3,684.24 and 996 is: 1,492.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.84 : 3,684.24 = 996 : x
  2. Step 2: Convert to fraction form
    2,457.84/3,684.24 = 996/x
  3. Step 3: Cross multiply
    2,457.84x = 3,684.24 × 996
  4. Step 4: Simplify right side
    2,457.84x = 3,669,503.04
  5. Step 5: Solve for x
    x = 3,669,503.04/2,457.84
  6. Step 6: Final answer
    x = 1,492.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.