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Finding the Fourth Proportional to 1,649.99, 2,473.99 and 662.93

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Solution

The fourth proportional to 1,649.99, 2,473.99 and 662.93 is: 994.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,649.99 : 2,473.99 = 662.93 : x
  2. Step 2: Convert to fraction form
    1,649.99/2,473.99 = 662.93/x
  3. Step 3: Cross multiply
    1,649.99x = 2,473.99 × 662.93
  4. Step 4: Simplify right side
    1,649.99x = 1,640,082.19
  5. Step 5: Solve for x
    x = 1,640,082.19/1,649.99
  6. Step 6: Final answer
    x = 994.00

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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.