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Finding the Fourth Proportional to 2,113.61, 3,170.36 and 632.83

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Solution

The fourth proportional to 2,113.61, 3,170.36 and 632.83 is: 949.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,113.61 : 3,170.36 = 632.83 : x
  2. Step 2: Convert to fraction form
    2,113.61/3,170.36 = 632.83/x
  3. Step 3: Cross multiply
    2,113.61x = 3,170.36 × 632.83
  4. Step 4: Simplify right side
    2,113.61x = 2,006,315.02
  5. Step 5: Solve for x
    x = 2,006,315.02/2,113.61
  6. Step 6: Final answer
    x = 949.24

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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.