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Finding the Fourth Proportional to 1,523.30, 2,102.17 and 893.85

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Solution

The fourth proportional to 1,523.30, 2,102.17 and 893.85 is: 1,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.30 : 2,102.17 = 893.85 : x
  2. Step 2: Convert to fraction form
    1,523.30/2,102.17 = 893.85/x
  3. Step 3: Cross multiply
    1,523.30x = 2,102.17 × 893.85
  4. Step 4: Simplify right side
    1,523.30x = 1,879,024.65
  5. Step 5: Solve for x
    x = 1,879,024.65/1,523.30
  6. Step 6: Final answer
    x = 1,233.52

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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.