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Finding the Fourth Proportional to 2,886.01, 3,982.71 and 1,644.01

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Solution

The fourth proportional to 2,886.01, 3,982.71 and 1,644.01 is: 2,268.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,886.01 : 3,982.71 = 1,644.01 : x
  2. Step 2: Convert to fraction form
    2,886.01/3,982.71 = 1,644.01/x
  3. Step 3: Cross multiply
    2,886.01x = 3,982.71 × 1,644.01
  4. Step 4: Simplify right side
    2,886.01x = 6,547,615.07
  5. Step 5: Solve for x
    x = 6,547,615.07/2,886.01
  6. Step 6: Final answer
    x = 2,268.74

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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.