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Finding the Fourth Proportional to 2,931.12, 4,375.80 and 2,828.60

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Solution

The fourth proportional to 2,931.12, 4,375.80 and 2,828.60 is: 4,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,931.12 : 4,375.80 = 2,828.60 : x
  2. Step 2: Convert to fraction form
    2,931.12/4,375.80 = 2,828.60/x
  3. Step 3: Cross multiply
    2,931.12x = 4,375.80 × 2,828.60
  4. Step 4: Simplify right side
    2,931.12x = 12,377,387.88
  5. Step 5: Solve for x
    x = 12,377,387.88/2,931.12
  6. Step 6: Final answer
    x = 4,222.75

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.