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Finding the Fourth Proportional to 2,640.83, 3,643.99 and 1,461.74

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Solution

The fourth proportional to 2,640.83, 3,643.99 and 1,461.74 is: 2,017.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.83 : 3,643.99 = 1,461.74 : x
  2. Step 2: Convert to fraction form
    2,640.83/3,643.99 = 1,461.74/x
  3. Step 3: Cross multiply
    2,640.83x = 3,643.99 × 1,461.74
  4. Step 4: Simplify right side
    2,640.83x = 5,326,544.07
  5. Step 5: Solve for x
    x = 5,326,544.07/2,640.83
  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.