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Finding the Fourth Proportional to 1,395.41, 2,093.27 and 421.52

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Solution

The fourth proportional to 1,395.41, 2,093.27 and 421.52 is: 632.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,395.41 : 2,093.27 = 421.52 : x
  2. Step 2: Convert to fraction form
    1,395.41/2,093.27 = 421.52/x
  3. Step 3: Cross multiply
    1,395.41x = 2,093.27 × 421.52
  4. Step 4: Simplify right side
    1,395.41x = 882,342.60
  5. Step 5: Solve for x
    x = 882,342.60/1,395.41
  6. Step 6: Final answer
    x = 632.32

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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.