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Finding the Fourth Proportional to 2,093.60, 3,139.48 and 632.41

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Solution

The fourth proportional to 2,093.60, 3,139.48 and 632.41 is: 948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.60 : 3,139.48 = 632.41 : x
  2. Step 2: Convert to fraction form
    2,093.60/3,139.48 = 632.41/x
  3. Step 3: Cross multiply
    2,093.60x = 3,139.48 × 632.41
  4. Step 4: Simplify right side
    2,093.60x = 1,985,433.27
  5. Step 5: Solve for x
    x = 1,985,433.27/2,093.60
  6. Step 6: Final answer
    x = 948.34

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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.