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Finding the Fourth Proportional to 3,056.99, 4,218 and 1,731.02

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Solution

The fourth proportional to 3,056.99, 4,218 and 1,731.02 is: 2,388.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.99 : 4,218 = 1,731.02 : x
  2. Step 2: Convert to fraction form
    3,056.99/4,218 = 1,731.02/x
  3. Step 3: Cross multiply
    3,056.99x = 4,218 × 1,731.02
  4. Step 4: Simplify right side
    3,056.99x = 7,301,421.27
  5. Step 5: Solve for x
    x = 7,301,421.27/3,056.99
  6. Step 6: Final answer
    x = 2,388.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.