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Finding the Fourth Proportional to 1,697.69, 2,546.22 and 587.10

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Solution

The fourth proportional to 1,697.69, 2,546.22 and 587.10 is: 880.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,697.69 : 2,546.22 = 587.10 : x
  2. Step 2: Convert to fraction form
    1,697.69/2,546.22 = 587.10/x
  3. Step 3: Cross multiply
    1,697.69x = 2,546.22 × 587.10
  4. Step 4: Simplify right side
    1,697.69x = 1,494,885.76
  5. Step 5: Solve for x
    x = 1,494,885.76/1,697.69
  6. Step 6: Final answer
    x = 880.54

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