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Finding the Fourth Proportional to 1,515.70, 2,090.49 and 990.82

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Solution

The fourth proportional to 1,515.70, 2,090.49 and 990.82 is: 1,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,515.70 : 2,090.49 = 990.82 : x
  2. Step 2: Convert to fraction form
    1,515.70/2,090.49 = 990.82/x
  3. Step 3: Cross multiply
    1,515.70x = 2,090.49 × 990.82
  4. Step 4: Simplify right side
    1,515.70x = 2,071,299.30
  5. Step 5: Solve for x
    x = 2,071,299.30/1,515.70
  6. Step 6: Final answer
    x = 1,366.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.