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Finding the Fourth Proportional to 2,115.75, 2,920.74 and 1,408.77

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Solution

The fourth proportional to 2,115.75, 2,920.74 and 1,408.77 is: 1,944.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115.75 : 2,920.74 = 1,408.77 : x
  2. Step 2: Convert to fraction form
    2,115.75/2,920.74 = 1,408.77/x
  3. Step 3: Cross multiply
    2,115.75x = 2,920.74 × 1,408.77
  4. Step 4: Simplify right side
    2,115.75x = 4,114,650.89
  5. Step 5: Solve for x
    x = 4,114,650.89/2,115.75
  6. Step 6: Final answer
    x = 1,944.77

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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.