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Finding the Fourth Proportional to 2,640.57, 3,643.94 and 1,461.62

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Solution

The fourth proportional to 2,640.57, 3,643.94 and 1,461.62 is: 2,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.57 : 3,643.94 = 1,461.62 : x
  2. Step 2: Convert to fraction form
    2,640.57/3,643.94 = 1,461.62/x
  3. Step 3: Cross multiply
    2,640.57x = 3,643.94 × 1,461.62
  4. Step 4: Simplify right side
    2,640.57x = 5,326,041.02
  5. Step 5: Solve for x
    x = 5,326,041.02/2,640.57
  6. Step 6: Final answer
    x = 2,017.00

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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.