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Finding the Fourth Proportional to 1,365.13, 2,037.25 and 1,219.21

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Solution

The fourth proportional to 1,365.13, 2,037.25 and 1,219.21 is: 1,819.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,365.13 : 2,037.25 = 1,219.21 : x
  2. Step 2: Convert to fraction form
    1,365.13/2,037.25 = 1,219.21/x
  3. Step 3: Cross multiply
    1,365.13x = 2,037.25 × 1,219.21
  4. Step 4: Simplify right side
    1,365.13x = 2,483,838.62
  5. Step 5: Solve for x
    x = 2,483,838.62/1,365.13
  6. Step 6: Final answer
    x = 1,819.49

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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.