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Finding the Fourth Proportional to 1,523.45, 2,102.38 and 893.99

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Solution

The fourth proportional to 1,523.45, 2,102.38 and 893.99 is: 1,233.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.45 : 2,102.38 = 893.99 : x
  2. Step 2: Convert to fraction form
    1,523.45/2,102.38 = 893.99/x
  3. Step 3: Cross multiply
    1,523.45x = 2,102.38 × 893.99
  4. Step 4: Simplify right side
    1,523.45x = 1,879,506.70
  5. Step 5: Solve for x
    x = 1,879,506.70/1,523.45
  6. Step 6: Final answer
    x = 1,233.72

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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.