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Finding the Fourth Proportional to 3,281, 4,526.82 and 1,954.04

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Solution

The fourth proportional to 3,281, 4,526.82 and 1,954.04 is: 2,696.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281 : 4,526.82 = 1,954.04 : x
  2. Step 2: Convert to fraction form
    3,281/4,526.82 = 1,954.04/x
  3. Step 3: Cross multiply
    3,281x = 4,526.82 × 1,954.04
  4. Step 4: Simplify right side
    3,281x = 8,845,587.35
  5. Step 5: Solve for x
    x = 8,845,587.35/3,281
  6. Step 6: Final answer
    x = 2,696.00

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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.