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Finding the Fourth Proportional to 1,745.64, 2,618.32 and 649.96

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Solution

The fourth proportional to 1,745.64, 2,618.32 and 649.96 is: 974.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,745.64 : 2,618.32 = 649.96 : x
  2. Step 2: Convert to fraction form
    1,745.64/2,618.32 = 649.96/x
  3. Step 3: Cross multiply
    1,745.64x = 2,618.32 × 649.96
  4. Step 4: Simplify right side
    1,745.64x = 1,701,803.27
  5. Step 5: Solve for x
    x = 1,701,803.27/1,745.64
  6. Step 6: Final answer
    x = 974.89

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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.