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Finding the Fourth Proportional to 2,919.36, 4,380.12 and 971.58

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Solution

The fourth proportional to 2,919.36, 4,380.12 and 971.58 is: 1,457.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.36 : 4,380.12 = 971.58 : x
  2. Step 2: Convert to fraction form
    2,919.36/4,380.12 = 971.58/x
  3. Step 3: Cross multiply
    2,919.36x = 4,380.12 × 971.58
  4. Step 4: Simplify right side
    2,919.36x = 4,255,636.99
  5. Step 5: Solve for x
    x = 4,255,636.99/2,919.36
  6. Step 6: Final answer
    x = 1,457.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.