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Finding the Fourth Proportional to 1,799.48, 2,465.29 and 1,732.06

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Solution

The fourth proportional to 1,799.48, 2,465.29 and 1,732.06 is: 2,372.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,799.48 : 2,465.29 = 1,732.06 : x
  2. Step 2: Convert to fraction form
    1,799.48/2,465.29 = 1,732.06/x
  3. Step 3: Cross multiply
    1,799.48x = 2,465.29 × 1,732.06
  4. Step 4: Simplify right side
    1,799.48x = 4,270,035.44
  5. Step 5: Solve for x
    x = 4,270,035.44/1,799.48
  6. Step 6: Final answer
    x = 2,372.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.