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Finding the Fourth Proportional to 3,123.97, 4,303.76 and 2,178.05

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Solution

The fourth proportional to 3,123.97, 4,303.76 and 2,178.05 is: 3,000.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.97 : 4,303.76 = 2,178.05 : x
  2. Step 2: Convert to fraction form
    3,123.97/4,303.76 = 2,178.05/x
  3. Step 3: Cross multiply
    3,123.97x = 4,303.76 × 2,178.05
  4. Step 4: Simplify right side
    3,123.97x = 9,373,788.39
  5. Step 5: Solve for x
    x = 9,373,788.39/3,123.97
  6. Step 6: Final answer
    x = 3,000.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.