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Finding the Fourth Proportional to 2,919.72, 4,028.28 and 1,740

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Solution

The fourth proportional to 2,919.72, 4,028.28 and 1,740 is: 2,400.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,919.72 : 4,028.28 = 1,740 : x
  2. Step 2: Convert to fraction form
    2,919.72/4,028.28 = 1,740/x
  3. Step 3: Cross multiply
    2,919.72x = 4,028.28 × 1,740
  4. Step 4: Simplify right side
    2,919.72x = 7,009,207.20
  5. Step 5: Solve for x
    x = 7,009,207.20/2,919.72
  6. Step 6: Final answer
    x = 2,400.64

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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.