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Finding the Fourth Proportional to 1,708.74, 2,563.86 and 669.06

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Solution

The fourth proportional to 1,708.74, 2,563.86 and 669.06 is: 1,003.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.74 : 2,563.86 = 669.06 : x
  2. Step 2: Convert to fraction form
    1,708.74/2,563.86 = 669.06/x
  3. Step 3: Cross multiply
    1,708.74x = 2,563.86 × 669.06
  4. Step 4: Simplify right side
    1,708.74x = 1,715,376.17
  5. Step 5: Solve for x
    x = 1,715,376.17/1,708.74
  6. Step 6: Final answer
    x = 1,003.88

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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.