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Finding the Fourth Proportional to 2,457.92, 3,683.04 and 1,544

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Solution

The fourth proportional to 2,457.92, 3,683.04 and 1,544 is: 2,313.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457.92 : 3,683.04 = 1,544 : x
  2. Step 2: Convert to fraction form
    2,457.92/3,683.04 = 1,544/x
  3. Step 3: Cross multiply
    2,457.92x = 3,683.04 × 1,544
  4. Step 4: Simplify right side
    2,457.92x = 5,686,613.76
  5. Step 5: Solve for x
    x = 5,686,613.76/2,457.92
  6. Step 6: Final answer
    x = 2,313.59

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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.