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Finding the Fourth Proportional to 1,697.62, 2,342.58 and 1,025.56

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Solution

The fourth proportional to 1,697.62, 2,342.58 and 1,025.56 is: 1,415.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.62 : 2,342.58 = 1,025.56 : x
  2. Step 2: Convert to fraction form
    1,697.62/2,342.58 = 1,025.56/x
  3. Step 3: Cross multiply
    1,697.62x = 2,342.58 × 1,025.56
  4. Step 4: Simplify right side
    1,697.62x = 2,402,456.34
  5. Step 5: Solve for x
    x = 2,402,456.34/1,697.62
  6. Step 6: Final answer
    x = 1,415.19

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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.