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Finding the Fourth Proportional to 2,017.64, 3,028.58 and 1,788

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Solution

The fourth proportional to 2,017.64, 3,028.58 and 1,788 is: 2,683.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,017.64 : 3,028.58 = 1,788 : x
  2. Step 2: Convert to fraction form
    2,017.64/3,028.58 = 1,788/x
  3. Step 3: Cross multiply
    2,017.64x = 3,028.58 × 1,788
  4. Step 4: Simplify right side
    2,017.64x = 5,415,101.04
  5. Step 5: Solve for x
    x = 5,415,101.04/2,017.64
  6. Step 6: Final answer
    x = 2,683.88

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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.