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Finding the Fourth Proportional to 2,403.69, 3,316.91 and 1,408.83

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Solution

The fourth proportional to 2,403.69, 3,316.91 and 1,408.83 is: 1,944.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,403.69 : 3,316.91 = 1,408.83 : x
  2. Step 2: Convert to fraction form
    2,403.69/3,316.91 = 1,408.83/x
  3. Step 3: Cross multiply
    2,403.69x = 3,316.91 × 1,408.83
  4. Step 4: Simplify right side
    2,403.69x = 4,672,955.27
  5. Step 5: Solve for x
    x = 4,672,955.27/2,403.69
  6. Step 6: Final answer
    x = 1,944.08

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