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Finding the Fourth Proportional to 2,602.24, 3,909.24 and 1,509.28

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Solution

The fourth proportional to 2,602.24, 3,909.24 and 1,509.28 is: 2,267.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,602.24 : 3,909.24 = 1,509.28 : x
  2. Step 2: Convert to fraction form
    2,602.24/3,909.24 = 1,509.28/x
  3. Step 3: Cross multiply
    2,602.24x = 3,909.24 × 1,509.28
  4. Step 4: Simplify right side
    2,602.24x = 5,900,137.75
  5. Step 5: Solve for x
    x = 5,900,137.75/2,602.24
  6. Step 6: Final answer
    x = 2,267.33

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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.