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Finding the Fourth Proportional to 2,106.76, 3,157.38 and 872.71

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Solution

The fourth proportional to 2,106.76, 3,157.38 and 872.71 is: 1,307.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.76 : 3,157.38 = 872.71 : x
  2. Step 2: Convert to fraction form
    2,106.76/3,157.38 = 872.71/x
  3. Step 3: Cross multiply
    2,106.76x = 3,157.38 × 872.71
  4. Step 4: Simplify right side
    2,106.76x = 2,755,477.10
  5. Step 5: Solve for x
    x = 2,755,477.10/2,106.76
  6. Step 6: Final answer
    x = 1,307.92

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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.