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Finding the Fourth Proportional to 2,300.81, 3,173.82 and 1,416.44

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Solution

The fourth proportional to 2,300.81, 3,173.82 and 1,416.44 is: 1,953.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,300.81 : 3,173.82 = 1,416.44 : x
  2. Step 2: Convert to fraction form
    2,300.81/3,173.82 = 1,416.44/x
  3. Step 3: Cross multiply
    2,300.81x = 3,173.82 × 1,416.44
  4. Step 4: Simplify right side
    2,300.81x = 4,495,509.73
  5. Step 5: Solve for x
    x = 4,495,509.73/2,300.81
  6. Step 6: Final answer
    x = 1,953.88

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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.