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Finding the Fourth Proportional to 2,585.85, 3,625.05 and 2,585.85

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Solution

The fourth proportional to 2,585.85, 3,625.05 and 2,585.85 is: 3,625.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.85 : 3,625.05 = 2,585.85 : x
  2. Step 2: Convert to fraction form
    2,585.85/3,625.05 = 2,585.85/x
  3. Step 3: Cross multiply
    2,585.85x = 3,625.05 × 2,585.85
  4. Step 4: Simplify right side
    2,585.85x = 9,373,835.54
  5. Step 5: Solve for x
    x = 9,373,835.54/2,585.85
  6. Step 6: Final answer
    x = 3,625.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.