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Finding the Fourth Proportional to 2,416.63, 3,623.70 and 1,429.74

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Solution

The fourth proportional to 2,416.63, 3,623.70 and 1,429.74 is: 2,143.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,416.63 : 3,623.70 = 1,429.74 : x
  2. Step 2: Convert to fraction form
    2,416.63/3,623.70 = 1,429.74/x
  3. Step 3: Cross multiply
    2,416.63x = 3,623.70 × 1,429.74
  4. Step 4: Simplify right side
    2,416.63x = 5,180,957.07
  5. Step 5: Solve for x
    x = 5,180,957.07/2,416.63
  6. Step 6: Final answer
    x = 2,143.88

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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.