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Finding the Fourth Proportional to 1,593.91, 2,199.23 and 895.24

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Solution

The fourth proportional to 1,593.91, 2,199.23 and 895.24 is: 1,235.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.91 : 2,199.23 = 895.24 : x
  2. Step 2: Convert to fraction form
    1,593.91/2,199.23 = 895.24/x
  3. Step 3: Cross multiply
    1,593.91x = 2,199.23 × 895.24
  4. Step 4: Simplify right side
    1,593.91x = 1,968,827.67
  5. Step 5: Solve for x
    x = 1,968,827.67/1,593.91
  6. Step 6: Final answer
    x = 1,235.22

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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.