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Finding the Fourth Proportional to 3,178.59, 4,768.56 and 2,598.90

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Solution

The fourth proportional to 3,178.59, 4,768.56 and 2,598.90 is: 3,898.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,178.59 : 4,768.56 = 2,598.90 : x
  2. Step 2: Convert to fraction form
    3,178.59/4,768.56 = 2,598.90/x
  3. Step 3: Cross multiply
    3,178.59x = 4,768.56 × 2,598.90
  4. Step 4: Simplify right side
    3,178.59x = 12,393,010.58
  5. Step 5: Solve for x
    x = 12,393,010.58/3,178.59
  6. Step 6: Final answer
    x = 3,898.90

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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.