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Finding the Fourth Proportional to 1,697.13, 2,554.63 and 1,446.57

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Solution

The fourth proportional to 1,697.13, 2,554.63 and 1,446.57 is: 2,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.13 : 2,554.63 = 1,446.57 : x
  2. Step 2: Convert to fraction form
    1,697.13/2,554.63 = 1,446.57/x
  3. Step 3: Cross multiply
    1,697.13x = 2,554.63 × 1,446.57
  4. Step 4: Simplify right side
    1,697.13x = 3,695,447.50
  5. Step 5: Solve for x
    x = 3,695,447.50/1,697.13
  6. Step 6: Final answer
    x = 2,177.47

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.