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Finding the Fourth Proportional to 2,584.60, 3,878.28 and 2,445.22

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Solution

The fourth proportional to 2,584.60, 3,878.28 and 2,445.22 is: 3,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,584.60 : 3,878.28 = 2,445.22 : x
  2. Step 2: Convert to fraction form
    2,584.60/3,878.28 = 2,445.22/x
  3. Step 3: Cross multiply
    2,584.60x = 3,878.28 × 2,445.22
  4. Step 4: Simplify right side
    2,584.60x = 9,483,247.82
  5. Step 5: Solve for x
    x = 9,483,247.82/2,584.60
  6. Step 6: Final answer
    x = 3,669.14

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1.5x scale

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.