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Finding the Fourth Proportional to 1,732.09, 2,598.94 and 1,002.28

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Solution

The fourth proportional to 1,732.09, 2,598.94 and 1,002.28 is: 1,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.09 : 2,598.94 = 1,002.28 : x
  2. Step 2: Convert to fraction form
    1,732.09/2,598.94 = 1,002.28/x
  3. Step 3: Cross multiply
    1,732.09x = 2,598.94 × 1,002.28
  4. Step 4: Simplify right side
    1,732.09x = 2,604,850.08
  5. Step 5: Solve for x
    x = 2,604,850.08/1,732.09
  6. Step 6: Final answer
    x = 1,503.88

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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.