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Finding the Fourth Proportional to 2,874.14, 3,966.84 and 1,880.30

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Solution

The fourth proportional to 2,874.14, 3,966.84 and 1,880.30 is: 2,595.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.14 : 3,966.84 = 1,880.30 : x
  2. Step 2: Convert to fraction form
    2,874.14/3,966.84 = 1,880.30/x
  3. Step 3: Cross multiply
    2,874.14x = 3,966.84 × 1,880.30
  4. Step 4: Simplify right side
    2,874.14x = 7,458,849.25
  5. Step 5: Solve for x
    x = 7,458,849.25/2,874.14
  6. Step 6: Final answer
    x = 2,595.16

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1.5x scale

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.