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Finding the Fourth Proportional to 2,274.01, 3,411 and 886.95

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Solution

The fourth proportional to 2,274.01, 3,411 and 886.95 is: 1,330.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,274.01 : 3,411 = 886.95 : x
  2. Step 2: Convert to fraction form
    2,274.01/3,411 = 886.95/x
  3. Step 3: Cross multiply
    2,274.01x = 3,411 × 886.95
  4. Step 4: Simplify right side
    2,274.01x = 3,025,386.45
  5. Step 5: Solve for x
    x = 3,025,386.45/2,274.01
  6. Step 6: Final answer
    x = 1,330.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.