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Finding the Fourth Proportional to 1,602.76, 2,391.54 and 1,439.14

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Solution

The fourth proportional to 1,602.76, 2,391.54 and 1,439.14 is: 2,147.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.76 : 2,391.54 = 1,439.14 : x
  2. Step 2: Convert to fraction form
    1,602.76/2,391.54 = 1,439.14/x
  3. Step 3: Cross multiply
    1,602.76x = 2,391.54 × 1,439.14
  4. Step 4: Simplify right side
    1,602.76x = 3,441,760.88
  5. Step 5: Solve for x
    x = 3,441,760.88/1,602.76
  6. Step 6: Final answer
    x = 2,147.40

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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.