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Finding the Fourth Proportional to 2,114.02, 3,170.26 and 632.80

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Solution

The fourth proportional to 2,114.02, 3,170.26 and 632.80 is: 948.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,114.02 : 3,170.26 = 632.80 : x
  2. Step 2: Convert to fraction form
    2,114.02/3,170.26 = 632.80/x
  3. Step 3: Cross multiply
    2,114.02x = 3,170.26 × 632.80
  4. Step 4: Simplify right side
    2,114.02x = 2,006,140.53
  5. Step 5: Solve for x
    x = 2,006,140.53/2,114.02
  6. Step 6: Final answer
    x = 948.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.