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Finding the Fourth Proportional to 1,697.56, 2,341.10 and 1,523.27

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Solution

The fourth proportional to 1,697.56, 2,341.10 and 1,523.27 is: 2,100.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.56 : 2,341.10 = 1,523.27 : x
  2. Step 2: Convert to fraction form
    1,697.56/2,341.10 = 1,523.27/x
  3. Step 3: Cross multiply
    1,697.56x = 2,341.10 × 1,523.27
  4. Step 4: Simplify right side
    1,697.56x = 3,566,137.06
  5. Step 5: Solve for x
    x = 3,566,137.06/1,697.56
  6. Step 6: Final answer
    x = 2,100.75

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