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Finding the Fourth Proportional to 1,732.03, 2,597.05 and 1,029.53

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Solution

The fourth proportional to 1,732.03, 2,597.05 and 1,029.53 is: 1,543.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.03 : 2,597.05 = 1,029.53 : x
  2. Step 2: Convert to fraction form
    1,732.03/2,597.05 = 1,029.53/x
  3. Step 3: Cross multiply
    1,732.03x = 2,597.05 × 1,029.53
  4. Step 4: Simplify right side
    1,732.03x = 2,673,748.67
  5. Step 5: Solve for x
    x = 2,673,748.67/1,732.03
  6. Step 6: Final answer
    x = 1,543.71

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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.