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Finding the Fourth Proportional to 1,827.06, 2,740.98 and 594.60

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Solution

The fourth proportional to 1,827.06, 2,740.98 and 594.60 is: 892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,827.06 : 2,740.98 = 594.60 : x
  2. Step 2: Convert to fraction form
    1,827.06/2,740.98 = 594.60/x
  3. Step 3: Cross multiply
    1,827.06x = 2,740.98 × 594.60
  4. Step 4: Simplify right side
    1,827.06x = 1,629,786.71
  5. Step 5: Solve for x
    x = 1,629,786.71/1,827.06
  6. Step 6: Final answer
    x = 892.03

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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.