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Finding the Fourth Proportional to 1,732.42, 2,598.63 and 866.26

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Solution

The fourth proportional to 1,732.42, 2,598.63 and 866.26 is: 1,299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.42 : 2,598.63 = 866.26 : x
  2. Step 2: Convert to fraction form
    1,732.42/2,598.63 = 866.26/x
  3. Step 3: Cross multiply
    1,732.42x = 2,598.63 × 866.26
  4. Step 4: Simplify right side
    1,732.42x = 2,251,089.22
  5. Step 5: Solve for x
    x = 2,251,089.22/1,732.42
  6. Step 6: Final answer
    x = 1,299.39

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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.