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Finding the Fourth Proportional to 1,829.70, 2,744.84 and 597.01

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Solution

The fourth proportional to 1,829.70, 2,744.84 and 597.01 is: 895.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,829.70 : 2,744.84 = 597.01 : x
  2. Step 2: Convert to fraction form
    1,829.70/2,744.84 = 597.01/x
  3. Step 3: Cross multiply
    1,829.70x = 2,744.84 × 597.01
  4. Step 4: Simplify right side
    1,829.70x = 1,638,693.94
  5. Step 5: Solve for x
    x = 1,638,693.94/1,829.70
  6. Step 6: Final answer
    x = 895.61

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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.