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Finding the Fourth Proportional to 2,986.36, 4,478.82 and 1,447

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Solution

The fourth proportional to 2,986.36, 4,478.82 and 1,447 is: 2,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,986.36 : 4,478.82 = 1,447 : x
  2. Step 2: Convert to fraction form
    2,986.36/4,478.82 = 1,447/x
  3. Step 3: Cross multiply
    2,986.36x = 4,478.82 × 1,447
  4. Step 4: Simplify right side
    2,986.36x = 6,480,852.54
  5. Step 5: Solve for x
    x = 6,480,852.54/2,986.36
  6. Step 6: Final answer
    x = 2,170.15

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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.