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Finding the Fourth Proportional to 1,826.97, 2,740.60 and 594.35

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Solution

The fourth proportional to 1,826.97, 2,740.60 and 594.35 is: 891.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,826.97 : 2,740.60 = 594.35 : x
  2. Step 2: Convert to fraction form
    1,826.97/2,740.60 = 594.35/x
  3. Step 3: Cross multiply
    1,826.97x = 2,740.60 × 594.35
  4. Step 4: Simplify right side
    1,826.97x = 1,628,872.93
  5. Step 5: Solve for x
    x = 1,628,872.93/1,826.97
  6. Step 6: Final answer
    x = 891.57

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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.