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Finding the Fourth Proportional to 1,767.60, 2,651.40 and 1,454.40

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Solution

The fourth proportional to 1,767.60, 2,651.40 and 1,454.40 is: 2,181.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.60 : 2,651.40 = 1,454.40 : x
  2. Step 2: Convert to fraction form
    1,767.60/2,651.40 = 1,454.40/x
  3. Step 3: Cross multiply
    1,767.60x = 2,651.40 × 1,454.40
  4. Step 4: Simplify right side
    1,767.60x = 3,856,196.16
  5. Step 5: Solve for x
    x = 3,856,196.16/1,767.60
  6. Step 6: Final answer
    x = 2,181.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.