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Finding the Fourth Proportional to 1,743.64, 2,402.94 and 1,700.44

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Solution

The fourth proportional to 1,743.64, 2,402.94 and 1,700.44 is: 2,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.64 : 2,402.94 = 1,700.44 : x
  2. Step 2: Convert to fraction form
    1,743.64/2,402.94 = 1,700.44/x
  3. Step 3: Cross multiply
    1,743.64x = 2,402.94 × 1,700.44
  4. Step 4: Simplify right side
    1,743.64x = 4,086,055.29
  5. Step 5: Solve for x
    x = 4,086,055.29/1,743.64
  6. Step 6: Final answer
    x = 2,343.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.