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Finding the Fourth Proportional to 1,704.49, 2,560.16 and 1,648.45

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Solution

The fourth proportional to 1,704.49, 2,560.16 and 1,648.45 is: 2,475.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,704.49 : 2,560.16 = 1,648.45 : x
  2. Step 2: Convert to fraction form
    1,704.49/2,560.16 = 1,648.45/x
  3. Step 3: Cross multiply
    1,704.49x = 2,560.16 × 1,648.45
  4. Step 4: Simplify right side
    1,704.49x = 4,220,293.80
  5. Step 5: Solve for x
    x = 4,220,293.80/1,704.49
  6. Step 6: Final answer
    x = 2,475.98

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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.