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Finding the Fourth Proportional to 2,457.44, 3,684.74 and 813.54

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Solution

The fourth proportional to 2,457.44, 3,684.74 and 813.54 is: 1,219.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.44 : 3,684.74 = 813.54 : x
  2. Step 2: Convert to fraction form
    2,457.44/3,684.74 = 813.54/x
  3. Step 3: Cross multiply
    2,457.44x = 3,684.74 × 813.54
  4. Step 4: Simplify right side
    2,457.44x = 2,997,683.38
  5. Step 5: Solve for x
    x = 2,997,683.38/2,457.44
  6. Step 6: Final answer
    x = 1,219.84

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1.5x scale

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.