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Finding the Fourth Proportional to 2,457.42, 3,685.08 and 896.94

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Solution

The fourth proportional to 2,457.42, 3,685.08 and 896.94 is: 1,345.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.42 : 3,685.08 = 896.94 : x
  2. Step 2: Convert to fraction form
    2,457.42/3,685.08 = 896.94/x
  3. Step 3: Cross multiply
    2,457.42x = 3,685.08 × 896.94
  4. Step 4: Simplify right side
    2,457.42x = 3,305,295.66
  5. Step 5: Solve for x
    x = 3,305,295.66/2,457.42
  6. Step 6: Final answer
    x = 1,345.03

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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.