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Finding the Fourth Proportional to 1,395.91, 2,089 and 1,178.83

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Solution

The fourth proportional to 1,395.91, 2,089 and 1,178.83 is: 1,764.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.91 : 2,089 = 1,178.83 : x
  2. Step 2: Convert to fraction form
    1,395.91/2,089 = 1,178.83/x
  3. Step 3: Cross multiply
    1,395.91x = 2,089 × 1,178.83
  4. Step 4: Simplify right side
    1,395.91x = 2,462,575.87
  5. Step 5: Solve for x
    x = 2,462,575.87/1,395.91
  6. Step 6: Final answer
    x = 1,764.14

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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.