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Finding the Fourth Proportional to 2,504.88, 3,756.03 and 1,465.11

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Solution

The fourth proportional to 2,504.88, 3,756.03 and 1,465.11 is: 2,196.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504.88 : 3,756.03 = 1,465.11 : x
  2. Step 2: Convert to fraction form
    2,504.88/3,756.03 = 1,465.11/x
  3. Step 3: Cross multiply
    2,504.88x = 3,756.03 × 1,465.11
  4. Step 4: Simplify right side
    2,504.88x = 5,502,997.11
  5. Step 5: Solve for x
    x = 5,502,997.11/2,504.88
  6. Step 6: Final answer
    x = 2,196.91

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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.