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Finding the Fourth Proportional to 2,718.25, 3,751.20 and 1,476.25

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Solution

The fourth proportional to 2,718.25, 3,751.20 and 1,476.25 is: 2,037.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,718.25 : 3,751.20 = 1,476.25 : x
  2. Step 2: Convert to fraction form
    2,718.25/3,751.20 = 1,476.25/x
  3. Step 3: Cross multiply
    2,718.25x = 3,751.20 × 1,476.25
  4. Step 4: Simplify right side
    2,718.25x = 5,537,709
  5. Step 5: Solve for x
    x = 5,537,709/2,718.25
  6. Step 6: Final answer
    x = 2,037.23

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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.