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Finding the Fourth Proportional to 2,457, 3,390.93 and 1,408.86

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Solution

The fourth proportional to 2,457, 3,390.93 and 1,408.86 is: 1,944.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457 : 3,390.93 = 1,408.86 : x
  2. Step 2: Convert to fraction form
    2,457/3,390.93 = 1,408.86/x
  3. Step 3: Cross multiply
    2,457x = 3,390.93 × 1,408.86
  4. Step 4: Simplify right side
    2,457x = 4,777,345.64
  5. Step 5: Solve for x
    x = 4,777,345.64/2,457
  6. Step 6: Final answer
    x = 1,944.38

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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.