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Finding the Fourth Proportional to 2,734.04, 3,772.50 and 1,802

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Solution

The fourth proportional to 2,734.04, 3,772.50 and 1,802 is: 2,486.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.04 : 3,772.50 = 1,802 : x
  2. Step 2: Convert to fraction form
    2,734.04/3,772.50 = 1,802/x
  3. Step 3: Cross multiply
    2,734.04x = 3,772.50 × 1,802
  4. Step 4: Simplify right side
    2,734.04x = 6,798,045
  5. Step 5: Solve for x
    x = 6,798,045/2,734.04
  6. Step 6: Final answer
    x = 2,486.45

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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.