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Finding the Fourth Proportional to 1,641.36, 2,455.65 and 1,503.45

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Solution

The fourth proportional to 1,641.36, 2,455.65 and 1,503.45 is: 2,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,641.36 : 2,455.65 = 1,503.45 : x
  2. Step 2: Convert to fraction form
    1,641.36/2,455.65 = 1,503.45/x
  3. Step 3: Cross multiply
    1,641.36x = 2,455.65 × 1,503.45
  4. Step 4: Simplify right side
    1,641.36x = 3,691,946.99
  5. Step 5: Solve for x
    x = 3,691,946.99/1,641.36
  6. Step 6: Final answer
    x = 2,249.32

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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.