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Finding the Fourth Proportional to 2,640.06, 3,643.29 and 1,461.15

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Solution

The fourth proportional to 2,640.06, 3,643.29 and 1,461.15 is: 2,016.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,640.06 : 3,643.29 = 1,461.15 : x
  2. Step 2: Convert to fraction form
    2,640.06/3,643.29 = 1,461.15/x
  3. Step 3: Cross multiply
    2,640.06x = 3,643.29 × 1,461.15
  4. Step 4: Simplify right side
    2,640.06x = 5,323,393.18
  5. Step 5: Solve for x
    x = 5,323,393.18/2,640.06
  6. Step 6: Final answer
    x = 2,016.39

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Why These Related Problems?

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