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Finding the Fourth Proportional to 1,708.80, 2,563.20 and 1,573.44

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Solution

The fourth proportional to 1,708.80, 2,563.20 and 1,573.44 is: 2,360.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,708.80 : 2,563.20 = 1,573.44 : x
  2. Step 2: Convert to fraction form
    1,708.80/2,563.20 = 1,573.44/x
  3. Step 3: Cross multiply
    1,708.80x = 2,563.20 × 1,573.44
  4. Step 4: Simplify right side
    1,708.80x = 4,033,041.41
  5. Step 5: Solve for x
    x = 4,033,041.41/1,708.80
  6. Step 6: Final answer
    x = 2,360.16

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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.