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Finding the Fourth Proportional to 1,823.52, 2,735.12 and 590.60

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Solution

The fourth proportional to 1,823.52, 2,735.12 and 590.60 is: 885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823.52 : 2,735.12 = 590.60 : x
  2. Step 2: Convert to fraction form
    1,823.52/2,735.12 = 590.60/x
  3. Step 3: Cross multiply
    1,823.52x = 2,735.12 × 590.60
  4. Step 4: Simplify right side
    1,823.52x = 1,615,361.87
  5. Step 5: Solve for x
    x = 1,615,361.87/1,823.52
  6. Step 6: Final answer
    x = 885.85

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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.