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Finding the Fourth Proportional to 2,310.39, 3,465.54 and 1,574.73

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Solution

The fourth proportional to 2,310.39, 3,465.54 and 1,574.73 is: 2,362.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310.39 : 3,465.54 = 1,574.73 : x
  2. Step 2: Convert to fraction form
    2,310.39/3,465.54 = 1,574.73/x
  3. Step 3: Cross multiply
    2,310.39x = 3,465.54 × 1,574.73
  4. Step 4: Simplify right side
    2,310.39x = 5,457,289.80
  5. Step 5: Solve for x
    x = 5,457,289.80/2,310.39
  6. Step 6: Final answer
    x = 2,362.06

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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.