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Finding the Fourth Proportional to 2,302, 3,176.80 and 1,254.08

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Solution

The fourth proportional to 2,302, 3,176.80 and 1,254.08 is: 1,730.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,302 : 3,176.80 = 1,254.08 : x
  2. Step 2: Convert to fraction form
    2,302/3,176.80 = 1,254.08/x
  3. Step 3: Cross multiply
    2,302x = 3,176.80 × 1,254.08
  4. Step 4: Simplify right side
    2,302x = 3,983,961.34
  5. Step 5: Solve for x
    x = 3,983,961.34/2,302
  6. Step 6: Final answer
    x = 1,730.65

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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.