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Finding the Fourth Proportional to 1,395.81, 2,093.64 and 421.88

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Solution

The fourth proportional to 1,395.81, 2,093.64 and 421.88 is: 632.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.81 : 2,093.64 = 421.88 : x
  2. Step 2: Convert to fraction form
    1,395.81/2,093.64 = 421.88/x
  3. Step 3: Cross multiply
    1,395.81x = 2,093.64 × 421.88
  4. Step 4: Simplify right side
    1,395.81x = 883,254.38
  5. Step 5: Solve for x
    x = 883,254.38/1,395.81
  6. Step 6: Final answer
    x = 632.79

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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.