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Finding the Fourth Proportional to 2,114.64, 2,914.92 and 1,720.98

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Solution

The fourth proportional to 2,114.64, 2,914.92 and 1,720.98 is: 2,372.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,914.92 = 1,720.98 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,914.92 = 1,720.98/x
  3. Step 3: Cross multiply
    2,114.64x = 2,914.92 × 1,720.98
  4. Step 4: Simplify right side
    2,114.64x = 5,016,519.02
  5. Step 5: Solve for x
    x = 5,016,519.02/2,114.64
  6. Step 6: Final answer
    x = 2,372.28

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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.