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Finding the Fourth Proportional to 2,640.30, 3,643.47 and 2,051.34

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Solution

The fourth proportional to 2,640.30, 3,643.47 and 2,051.34 is: 2,830.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.30 : 3,643.47 = 2,051.34 : x
  2. Step 2: Convert to fraction form
    2,640.30/3,643.47 = 2,051.34/x
  3. Step 3: Cross multiply
    2,640.30x = 3,643.47 × 2,051.34
  4. Step 4: Simplify right side
    2,640.30x = 7,473,995.75
  5. Step 5: Solve for x
    x = 7,473,995.75/2,640.30
  6. Step 6: Final answer
    x = 2,830.74

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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.