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Finding the Fourth Proportional to 1,829.57, 2,744.63 and 530.87

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Solution

The fourth proportional to 1,829.57, 2,744.63 and 530.87 is: 796.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.57 : 2,744.63 = 530.87 : x
  2. Step 2: Convert to fraction form
    1,829.57/2,744.63 = 530.87/x
  3. Step 3: Cross multiply
    1,829.57x = 2,744.63 × 530.87
  4. Step 4: Simplify right side
    1,829.57x = 1,457,039.07
  5. Step 5: Solve for x
    x = 1,457,039.07/1,829.57
  6. Step 6: Final answer
    x = 796.38

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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.