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Finding the Fourth Proportional to 2,751.53, 3,785.76 and 2,419.38

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Solution

The fourth proportional to 2,751.53, 3,785.76 and 2,419.38 is: 3,328.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.53 : 3,785.76 = 2,419.38 : x
  2. Step 2: Convert to fraction form
    2,751.53/3,785.76 = 2,419.38/x
  3. Step 3: Cross multiply
    2,751.53x = 3,785.76 × 2,419.38
  4. Step 4: Simplify right side
    2,751.53x = 9,159,192.03
  5. Step 5: Solve for x
    x = 9,159,192.03/2,751.53
  6. Step 6: Final answer
    x = 3,328.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.