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Finding the Fourth Proportional to 1,835.12, 2,752.88 and 536.80

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Solution

The fourth proportional to 1,835.12, 2,752.88 and 536.80 is: 805.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.12 : 2,752.88 = 536.80 : x
  2. Step 2: Convert to fraction form
    1,835.12/2,752.88 = 536.80/x
  3. Step 3: Cross multiply
    1,835.12x = 2,752.88 × 536.80
  4. Step 4: Simplify right side
    1,835.12x = 1,477,745.98
  5. Step 5: Solve for x
    x = 1,477,745.98/1,835.12
  6. Step 6: Final answer
    x = 805.26

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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.