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Finding the Fourth Proportional to 1,829.79, 2,744.69 and 532.17

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Solution

The fourth proportional to 1,829.79, 2,744.69 and 532.17 is: 798.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.79 : 2,744.69 = 532.17 : x
  2. Step 2: Convert to fraction form
    1,829.79/2,744.69 = 532.17/x
  3. Step 3: Cross multiply
    1,829.79x = 2,744.69 × 532.17
  4. Step 4: Simplify right side
    1,829.79x = 1,460,639.02
  5. Step 5: Solve for x
    x = 1,460,639.02/1,829.79
  6. Step 6: Final answer
    x = 798.26

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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.