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Finding the Fourth Proportional to 1,642.30, 2,464.80 and 669.13

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Solution

The fourth proportional to 1,642.30, 2,464.80 and 669.13 is: 1,004.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,642.30 : 2,464.80 = 669.13 : x
  2. Step 2: Convert to fraction form
    1,642.30/2,464.80 = 669.13/x
  3. Step 3: Cross multiply
    1,642.30x = 2,464.80 × 669.13
  4. Step 4: Simplify right side
    1,642.30x = 1,649,271.62
  5. Step 5: Solve for x
    x = 1,649,271.62/1,642.30
  6. Step 6: Final answer
    x = 1,004.25

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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.