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Finding the Fourth Proportional to 2,252, 3,107.04 and 1,465.76

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Solution

The fourth proportional to 2,252, 3,107.04 and 1,465.76 is: 2,022.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,252 : 3,107.04 = 1,465.76 : x
  2. Step 2: Convert to fraction form
    2,252/3,107.04 = 1,465.76/x
  3. Step 3: Cross multiply
    2,252x = 3,107.04 × 1,465.76
  4. Step 4: Simplify right side
    2,252x = 4,554,174.95
  5. Step 5: Solve for x
    x = 4,554,174.95/2,252
  6. Step 6: Final answer
    x = 2,022.28

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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.