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Finding the Fourth Proportional to 1,638.09, 2,456.51 and 597.87

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Solution

The fourth proportional to 1,638.09, 2,456.51 and 597.87 is: 896.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,638.09 : 2,456.51 = 597.87 : x
  2. Step 2: Convert to fraction form
    1,638.09/2,456.51 = 597.87/x
  3. Step 3: Cross multiply
    1,638.09x = 2,456.51 × 597.87
  4. Step 4: Simplify right side
    1,638.09x = 1,468,670.64
  5. Step 5: Solve for x
    x = 1,468,670.64/1,638.09
  6. Step 6: Final answer
    x = 896.58

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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.