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Finding the Fourth Proportional to 1,835.66, 2,752.64 and 536.87

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Solution

The fourth proportional to 1,835.66, 2,752.64 and 536.87 is: 805.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,835.66 : 2,752.64 = 536.87 : x
  2. Step 2: Convert to fraction form
    1,835.66/2,752.64 = 536.87/x
  3. Step 3: Cross multiply
    1,835.66x = 2,752.64 × 536.87
  4. Step 4: Simplify right side
    1,835.66x = 1,477,816.05
  5. Step 5: Solve for x
    x = 1,477,816.05/1,835.66
  6. Step 6: Final answer
    x = 805.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.