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Finding the Fourth Proportional to 2,114.64, 2,918.97 and 1,720.98

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Solution

The fourth proportional to 2,114.64, 2,918.97 and 1,720.98 is: 2,375.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.64 : 2,918.97 = 1,720.98 : x
  2. Step 2: Convert to fraction form
    2,114.64/2,918.97 = 1,720.98/x
  3. Step 3: Cross multiply
    2,114.64x = 2,918.97 × 1,720.98
  4. Step 4: Simplify right side
    2,114.64x = 5,023,488.99
  5. Step 5: Solve for x
    x = 5,023,488.99/2,114.64
  6. Step 6: Final answer
    x = 2,375.58

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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.