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Finding the Fourth Proportional to 2,354.26, 3,529.32 and 893.50

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Solution

The fourth proportional to 2,354.26, 3,529.32 and 893.50 is: 1,339.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,354.26 : 3,529.32 = 893.50 : x
  2. Step 2: Convert to fraction form
    2,354.26/3,529.32 = 893.50/x
  3. Step 3: Cross multiply
    2,354.26x = 3,529.32 × 893.50
  4. Step 4: Simplify right side
    2,354.26x = 3,153,447.42
  5. Step 5: Solve for x
    x = 3,153,447.42/2,354.26
  6. Step 6: Final answer
    x = 1,339.46

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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.