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Finding the Fourth Proportional to 3,045.47, 4,564.49 and 1,399.73

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Solution

The fourth proportional to 3,045.47, 4,564.49 and 1,399.73 is: 2,097.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.47 : 4,564.49 = 1,399.73 : x
  2. Step 2: Convert to fraction form
    3,045.47/4,564.49 = 1,399.73/x
  3. Step 3: Cross multiply
    3,045.47x = 4,564.49 × 1,399.73
  4. Step 4: Simplify right side
    3,045.47x = 6,389,023.77
  5. Step 5: Solve for x
    x = 6,389,023.77/3,045.47
  6. Step 6: Final answer
    x = 2,097.88

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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.