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Finding the Fourth Proportional to 4,598.49, 6,898.42 and 1,676.11

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Solution

The fourth proportional to 4,598.49, 6,898.42 and 1,676.11 is: 2,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,598.49 : 6,898.42 = 1,676.11 : x
  2. Step 2: Convert to fraction form
    4,598.49/6,898.42 = 1,676.11/x
  3. Step 3: Cross multiply
    4,598.49x = 6,898.42 × 1,676.11
  4. Step 4: Simplify right side
    4,598.49x = 11,562,499.10
  5. Step 5: Solve for x
    x = 11,562,499.10/4,598.49
  6. Step 6: Final answer
    x = 2,514.41

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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.