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Finding the Fourth Proportional to 4,180.81, 6,272.18 and 1,407.41

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Solution

The fourth proportional to 4,180.81, 6,272.18 and 1,407.41 is: 2,111.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,180.81 : 6,272.18 = 1,407.41 : x
  2. Step 2: Convert to fraction form
    4,180.81/6,272.18 = 1,407.41/x
  3. Step 3: Cross multiply
    4,180.81x = 6,272.18 × 1,407.41
  4. Step 4: Simplify right side
    4,180.81x = 8,827,528.85
  5. Step 5: Solve for x
    x = 8,827,528.85/4,180.81
  6. Step 6: Final answer
    x = 2,111.44

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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.