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Finding the Fourth Proportional to 1,465.89, 2,199.21 and 1,080.48

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Solution

The fourth proportional to 1,465.89, 2,199.21 and 1,080.48 is: 1,621.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465.89 : 2,199.21 = 1,080.48 : x
  2. Step 2: Convert to fraction form
    1,465.89/2,199.21 = 1,080.48/x
  3. Step 3: Cross multiply
    1,465.89x = 2,199.21 × 1,080.48
  4. Step 4: Simplify right side
    1,465.89x = 2,376,202.42
  5. Step 5: Solve for x
    x = 2,376,202.42/1,465.89
  6. Step 6: Final answer
    x = 1,621.00

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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.