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Finding the Fourth Proportional to 2,341.73, 3,506.36 and 1,416.03

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Solution

The fourth proportional to 2,341.73, 3,506.36 and 1,416.03 is: 2,120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,341.73 : 3,506.36 = 1,416.03 : x
  2. Step 2: Convert to fraction form
    2,341.73/3,506.36 = 1,416.03/x
  3. Step 3: Cross multiply
    2,341.73x = 3,506.36 × 1,416.03
  4. Step 4: Simplify right side
    2,341.73x = 4,965,103.87
  5. Step 5: Solve for x
    x = 4,965,103.87/2,341.73
  6. Step 6: Final answer
    x = 2,120.28

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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.