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Finding the Fourth Proportional to 2,996.40, 4,475 and 2,509.84

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Solution

The fourth proportional to 2,996.40, 4,475 and 2,509.84 is: 3,748.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.40 : 4,475 = 2,509.84 : x
  2. Step 2: Convert to fraction form
    2,996.40/4,475 = 2,509.84/x
  3. Step 3: Cross multiply
    2,996.40x = 4,475 × 2,509.84
  4. Step 4: Simplify right side
    2,996.40x = 11,231,534
  5. Step 5: Solve for x
    x = 11,231,534/2,996.40
  6. Step 6: Final answer
    x = 3,748.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.