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Finding the Fourth Proportional to 2,447.48, 3,671.40 and 716

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Solution

The fourth proportional to 2,447.48, 3,671.40 and 716 is: 1,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,447.48 : 3,671.40 = 716 : x
  2. Step 2: Convert to fraction form
    2,447.48/3,671.40 = 716/x
  3. Step 3: Cross multiply
    2,447.48x = 3,671.40 × 716
  4. Step 4: Simplify right side
    2,447.48x = 2,628,722.40
  5. Step 5: Solve for x
    x = 2,628,722.40/2,447.48
  6. Step 6: Final answer
    x = 1,074.05

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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.