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Finding the Fourth Proportional to 2,458.69, 3,682.24 and 1,285.90

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Solution

The fourth proportional to 2,458.69, 3,682.24 and 1,285.90 is: 1,925.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,458.69 : 3,682.24 = 1,285.90 : x
  2. Step 2: Convert to fraction form
    2,458.69/3,682.24 = 1,285.90/x
  3. Step 3: Cross multiply
    2,458.69x = 3,682.24 × 1,285.90
  4. Step 4: Simplify right side
    2,458.69x = 4,734,980.00
  5. Step 5: Solve for x
    x = 4,734,980.00/2,458.69
  6. Step 6: Final answer
    x = 1,925.82

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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.