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Finding the Fourth Proportional to 4,598.37, 6,898.57 and 1,676.68

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Solution

The fourth proportional to 4,598.37, 6,898.57 and 1,676.68 is: 2,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.37 : 6,898.57 = 1,676.68 : x
  2. Step 2: Convert to fraction form
    4,598.37/6,898.57 = 1,676.68/x
  3. Step 3: Cross multiply
    4,598.37x = 6,898.57 × 1,676.68
  4. Step 4: Simplify right side
    4,598.37x = 11,566,672.91
  5. Step 5: Solve for x
    x = 11,566,672.91/4,598.37
  6. Step 6: Final answer
    x = 2,515.39

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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.