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Finding the Fourth Proportional to 2,432.62, 3,649.30 and 893.50

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Solution

The fourth proportional to 2,432.62, 3,649.30 and 893.50 is: 1,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,432.62 : 3,649.30 = 893.50 : x
  2. Step 2: Convert to fraction form
    2,432.62/3,649.30 = 893.50/x
  3. Step 3: Cross multiply
    2,432.62x = 3,649.30 × 893.50
  4. Step 4: Simplify right side
    2,432.62x = 3,260,649.55
  5. Step 5: Solve for x
    x = 3,260,649.55/2,432.62
  6. Step 6: Final answer
    x = 1,340.39

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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.