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Finding the Fourth Proportional to 1,596.37, 2,392.48 and 893.55

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Solution

The fourth proportional to 1,596.37, 2,392.48 and 893.55 is: 1,339.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596.37 : 2,392.48 = 893.55 : x
  2. Step 2: Convert to fraction form
    1,596.37/2,392.48 = 893.55/x
  3. Step 3: Cross multiply
    1,596.37x = 2,392.48 × 893.55
  4. Step 4: Simplify right side
    1,596.37x = 2,137,801.62
  5. Step 5: Solve for x
    x = 2,137,801.62/1,596.37
  6. Step 6: Final answer
    x = 1,339.16

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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.