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Finding the Fourth Proportional to 1,642.65, 2,464.55 and 1,025.63

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Solution

The fourth proportional to 1,642.65, 2,464.55 and 1,025.63 is: 1,538.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.65 : 2,464.55 = 1,025.63 : x
  2. Step 2: Convert to fraction form
    1,642.65/2,464.55 = 1,025.63/x
  3. Step 3: Cross multiply
    1,642.65x = 2,464.55 × 1,025.63
  4. Step 4: Simplify right side
    1,642.65x = 2,527,698.97
  5. Step 5: Solve for x
    x = 2,527,698.97/1,642.65
  6. Step 6: Final answer
    x = 1,538.79

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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.