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Finding the Fourth Proportional to 1,642.51, 2,451.05 and 1,467.30

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Solution

The fourth proportional to 1,642.51, 2,451.05 and 1,467.30 is: 2,189.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.51 : 2,451.05 = 1,467.30 : x
  2. Step 2: Convert to fraction form
    1,642.51/2,451.05 = 1,467.30/x
  3. Step 3: Cross multiply
    1,642.51x = 2,451.05 × 1,467.30
  4. Step 4: Simplify right side
    1,642.51x = 3,596,425.67
  5. Step 5: Solve for x
    x = 3,596,425.67/1,642.51
  6. Step 6: Final answer
    x = 2,189.59

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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.