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Finding the Fourth Proportional to 1,594.08, 2,380.21 and 1,428.48

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Solution

The fourth proportional to 1,594.08, 2,380.21 and 1,428.48 is: 2,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,594.08 : 2,380.21 = 1,428.48 : x
  2. Step 2: Convert to fraction form
    1,594.08/2,380.21 = 1,428.48/x
  3. Step 3: Cross multiply
    1,594.08x = 2,380.21 × 1,428.48
  4. Step 4: Simplify right side
    1,594.08x = 3,400,082.38
  5. Step 5: Solve for x
    x = 3,400,082.38/1,594.08
  6. Step 6: Final answer
    x = 2,132.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.