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Finding the Fourth Proportional to 2,640.19, 3,643.68 and 1,461.64

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Solution

The fourth proportional to 2,640.19, 3,643.68 and 1,461.64 is: 2,017.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.19 : 3,643.68 = 1,461.64 : x
  2. Step 2: Convert to fraction form
    2,640.19/3,643.68 = 1,461.64/x
  3. Step 3: Cross multiply
    2,640.19x = 3,643.68 × 1,461.64
  4. Step 4: Simplify right side
    2,640.19x = 5,325,748.44
  5. Step 5: Solve for x
    x = 5,325,748.44/2,640.19
  6. Step 6: Final answer
    x = 2,017.18

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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.