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Finding the Fourth Proportional to 1,390.04, 2,082.66 and 921.22

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Solution

The fourth proportional to 1,390.04, 2,082.66 and 921.22 is: 1,380.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,390.04 : 2,082.66 = 921.22 : x
  2. Step 2: Convert to fraction form
    1,390.04/2,082.66 = 921.22/x
  3. Step 3: Cross multiply
    1,390.04x = 2,082.66 × 921.22
  4. Step 4: Simplify right side
    1,390.04x = 1,918,588.05
  5. Step 5: Solve for x
    x = 1,918,588.05/1,390.04
  6. Step 6: Final answer
    x = 1,380.24

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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.