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Finding the Fourth Proportional to 2,594.96, 3,580.97 and 2,385.98

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Solution

The fourth proportional to 2,594.96, 3,580.97 and 2,385.98 is: 3,292.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,594.96 : 3,580.97 = 2,385.98 : x
  2. Step 2: Convert to fraction form
    2,594.96/3,580.97 = 2,385.98/x
  3. Step 3: Cross multiply
    2,594.96x = 3,580.97 × 2,385.98
  4. Step 4: Simplify right side
    2,594.96x = 8,544,122.80
  5. Step 5: Solve for x
    x = 8,544,122.80/2,594.96
  6. Step 6: Final answer
    x = 3,292.58

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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.