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Finding the Fourth Proportional to 2,641.06, 3,643.07 and 1,696.53

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Solution

The fourth proportional to 2,641.06, 3,643.07 and 1,696.53 is: 2,340.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,641.06 : 3,643.07 = 1,696.53 : x
  2. Step 2: Convert to fraction form
    2,641.06/3,643.07 = 1,696.53/x
  3. Step 3: Cross multiply
    2,641.06x = 3,643.07 × 1,696.53
  4. Step 4: Simplify right side
    2,641.06x = 6,180,569.06
  5. Step 5: Solve for x
    x = 6,180,569.06/2,641.06
  6. Step 6: Final answer
    x = 2,340.19

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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.