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Finding the Fourth Proportional to 1,700.18, 2,549.48 and 997.60

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Solution

The fourth proportional to 1,700.18, 2,549.48 and 997.60 is: 1,495.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,700.18 : 2,549.48 = 997.60 : x
  2. Step 2: Convert to fraction form
    1,700.18/2,549.48 = 997.60/x
  3. Step 3: Cross multiply
    1,700.18x = 2,549.48 × 997.60
  4. Step 4: Simplify right side
    1,700.18x = 2,543,361.25
  5. Step 5: Solve for x
    x = 2,543,361.25/1,700.18
  6. Step 6: Final answer
    x = 1,495.94

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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.