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Finding the Fourth Proportional to 1,727.24, 2,591.93 and 802.93

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Solution

The fourth proportional to 1,727.24, 2,591.93 and 802.93 is: 1,204.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,727.24 : 2,591.93 = 802.93 : x
  2. Step 2: Convert to fraction form
    1,727.24/2,591.93 = 802.93/x
  3. Step 3: Cross multiply
    1,727.24x = 2,591.93 × 802.93
  4. Step 4: Simplify right side
    1,727.24x = 2,081,138.35
  5. Step 5: Solve for x
    x = 2,081,138.35/1,727.24
  6. Step 6: Final answer
    x = 1,204.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.