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Finding the Fourth Proportional to 1,509.89, 2,082.68 and 1,090.85

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Solution

The fourth proportional to 1,509.89, 2,082.68 and 1,090.85 is: 1,504.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509.89 : 2,082.68 = 1,090.85 : x
  2. Step 2: Convert to fraction form
    1,509.89/2,082.68 = 1,090.85/x
  3. Step 3: Cross multiply
    1,509.89x = 2,082.68 × 1,090.85
  4. Step 4: Simplify right side
    1,509.89x = 2,271,899.41
  5. Step 5: Solve for x
    x = 2,271,899.41/1,509.89
  6. Step 6: Final answer
    x = 1,504.68

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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.