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Finding the Fourth Proportional to 1,641.45, 2,460.01 and 667.02

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Solution

The fourth proportional to 1,641.45, 2,460.01 and 667.02 is: 999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.45 : 2,460.01 = 667.02 : x
  2. Step 2: Convert to fraction form
    1,641.45/2,460.01 = 667.02/x
  3. Step 3: Cross multiply
    1,641.45x = 2,460.01 × 667.02
  4. Step 4: Simplify right side
    1,641.45x = 1,640,870.84
  5. Step 5: Solve for x
    x = 1,640,870.84/1,641.45
  6. Step 6: Final answer
    x = 999.65

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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.