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Finding the Fourth Proportional to 1,643.59, 2,464.74 and 669.34

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Solution

The fourth proportional to 1,643.59, 2,464.74 and 669.34 is: 1,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.59 : 2,464.74 = 669.34 : x
  2. Step 2: Convert to fraction form
    1,643.59/2,464.74 = 669.34/x
  3. Step 3: Cross multiply
    1,643.59x = 2,464.74 × 669.34
  4. Step 4: Simplify right side
    1,643.59x = 1,649,749.07
  5. Step 5: Solve for x
    x = 1,649,749.07/1,643.59
  6. Step 6: Final answer
    x = 1,003.75

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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.