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Finding the Fourth Proportional to 1,697.09, 2,546.06 and 916.76

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Solution

The fourth proportional to 1,697.09, 2,546.06 and 916.76 is: 1,375.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.09 : 2,546.06 = 916.76 : x
  2. Step 2: Convert to fraction form
    1,697.09/2,546.06 = 916.76/x
  3. Step 3: Cross multiply
    1,697.09x = 2,546.06 × 916.76
  4. Step 4: Simplify right side
    1,697.09x = 2,334,125.97
  5. Step 5: Solve for x
    x = 2,334,125.97/1,697.09
  6. Step 6: Final answer
    x = 1,375.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.