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Finding the Fourth Proportional to 2,093.10, 3,139.64 and 632.20

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Solution

The fourth proportional to 2,093.10, 3,139.64 and 632.20 is: 948.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.10 : 3,139.64 = 632.20 : x
  2. Step 2: Convert to fraction form
    2,093.10/3,139.64 = 632.20/x
  3. Step 3: Cross multiply
    2,093.10x = 3,139.64 × 632.20
  4. Step 4: Simplify right side
    2,093.10x = 1,984,880.41
  5. Step 5: Solve for x
    x = 1,984,880.41/2,093.10
  6. Step 6: Final answer
    x = 948.30

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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.