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Finding the Fourth Proportional to 2,969.16, 4,096.35 and 2,288

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Solution

The fourth proportional to 2,969.16, 4,096.35 and 2,288 is: 3,156.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.16 : 4,096.35 = 2,288 : x
  2. Step 2: Convert to fraction form
    2,969.16/4,096.35 = 2,288/x
  3. Step 3: Cross multiply
    2,969.16x = 4,096.35 × 2,288
  4. Step 4: Simplify right side
    2,969.16x = 9,372,448.80
  5. Step 5: Solve for x
    x = 9,372,448.80/2,969.16
  6. Step 6: Final answer
    x = 3,156.60

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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.