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Finding the Fourth Proportional to 1,727.05, 2,589.95 and 802.43

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Solution

The fourth proportional to 1,727.05, 2,589.95 and 802.43 is: 1,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.05 : 2,589.95 = 802.43 : x
  2. Step 2: Convert to fraction form
    1,727.05/2,589.95 = 802.43/x
  3. Step 3: Cross multiply
    1,727.05x = 2,589.95 × 802.43
  4. Step 4: Simplify right side
    1,727.05x = 2,078,253.58
  5. Step 5: Solve for x
    x = 2,078,253.58/1,727.05
  6. Step 6: Final answer
    x = 1,203.35

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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.