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Finding the Fourth Proportional to 2,899.04, 3,999.84 and 1,640

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Solution

The fourth proportional to 2,899.04, 3,999.84 and 1,640 is: 2,262.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,899.04 : 3,999.84 = 1,640 : x
  2. Step 2: Convert to fraction form
    2,899.04/3,999.84 = 1,640/x
  3. Step 3: Cross multiply
    2,899.04x = 3,999.84 × 1,640
  4. Step 4: Simplify right side
    2,899.04x = 6,559,737.60
  5. Step 5: Solve for x
    x = 6,559,737.60/2,899.04
  6. Step 6: Final answer
    x = 2,262.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.