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Finding the Fourth Proportional to 2,028.83, 3,041.35 and 934.07

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Solution

The fourth proportional to 2,028.83, 3,041.35 and 934.07 is: 1,400.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,028.83 : 3,041.35 = 934.07 : x
  2. Step 2: Convert to fraction form
    2,028.83/3,041.35 = 934.07/x
  3. Step 3: Cross multiply
    2,028.83x = 3,041.35 × 934.07
  4. Step 4: Simplify right side
    2,028.83x = 2,840,813.92
  5. Step 5: Solve for x
    x = 2,840,813.92/2,028.83
  6. Step 6: Final answer
    x = 1,400.23

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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.