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Finding the Fourth Proportional to 1,709.45, 2,562.77 and 669.26

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Solution

The fourth proportional to 1,709.45, 2,562.77 and 669.26 is: 1,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.45 : 2,562.77 = 669.26 : x
  2. Step 2: Convert to fraction form
    1,709.45/2,562.77 = 669.26/x
  3. Step 3: Cross multiply
    1,709.45x = 2,562.77 × 669.26
  4. Step 4: Simplify right side
    1,709.45x = 1,715,159.45
  5. Step 5: Solve for x
    x = 1,715,159.45/1,709.45
  6. Step 6: Final answer
    x = 1,003.34

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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.