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Finding the Fourth Proportional to 1,894.30, 2,614.62 and 1,697.47

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Solution

The fourth proportional to 1,894.30, 2,614.62 and 1,697.47 is: 2,342.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894.30 : 2,614.62 = 1,697.47 : x
  2. Step 2: Convert to fraction form
    1,894.30/2,614.62 = 1,697.47/x
  3. Step 3: Cross multiply
    1,894.30x = 2,614.62 × 1,697.47
  4. Step 4: Simplify right side
    1,894.30x = 4,438,239.01
  5. Step 5: Solve for x
    x = 4,438,239.01/1,894.30
  6. Step 6: Final answer
    x = 2,342.94

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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.