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Finding the Fourth Proportional to 2,457, 3,390.68 and 1,409.07

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Solution

The fourth proportional to 2,457, 3,390.68 and 1,409.07 is: 1,944.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,390.68 = 1,409.07 : x
  2. Step 2: Convert to fraction form
    2,457/3,390.68 = 1,409.07/x
  3. Step 3: Cross multiply
    2,457x = 3,390.68 × 1,409.07
  4. Step 4: Simplify right side
    2,457x = 4,777,698.42
  5. Step 5: Solve for x
    x = 4,777,698.42/2,457
  6. Step 6: Final answer
    x = 1,944.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.