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Finding the Fourth Proportional to 2,402.94, 3,316.07 and 1,408.80

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Solution

The fourth proportional to 2,402.94, 3,316.07 and 1,408.80 is: 1,944.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,402.94 : 3,316.07 = 1,408.80 : x
  2. Step 2: Convert to fraction form
    2,402.94/3,316.07 = 1,408.80/x
  3. Step 3: Cross multiply
    2,402.94x = 3,316.07 × 1,408.80
  4. Step 4: Simplify right side
    2,402.94x = 4,671,695.37
  5. Step 5: Solve for x
    x = 4,671,695.37/2,402.94
  6. Step 6: Final answer
    x = 1,944.16

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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.