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Finding the Fourth Proportional to 2,113.50, 3,169.70 and 632.37

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Solution

The fourth proportional to 2,113.50, 3,169.70 and 632.37 is: 948.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.50 : 3,169.70 = 632.37 : x
  2. Step 2: Convert to fraction form
    2,113.50/3,169.70 = 632.37/x
  3. Step 3: Cross multiply
    2,113.50x = 3,169.70 × 632.37
  4. Step 4: Simplify right side
    2,113.50x = 2,004,407.34
  5. Step 5: Solve for x
    x = 2,004,407.34/2,113.50
  6. Step 6: Final answer
    x = 948.39

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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.