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Finding the Fourth Proportional to 1,835.46, 2,752.89 and 536.63

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Solution

The fourth proportional to 1,835.46, 2,752.89 and 536.63 is: 804.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.46 : 2,752.89 = 536.63 : x
  2. Step 2: Convert to fraction form
    1,835.46/2,752.89 = 536.63/x
  3. Step 3: Cross multiply
    1,835.46x = 2,752.89 × 536.63
  4. Step 4: Simplify right side
    1,835.46x = 1,477,267.58
  5. Step 5: Solve for x
    x = 1,477,267.58/1,835.46
  6. Step 6: Final answer
    x = 804.85

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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.