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Finding the Fourth Proportional to 1,593.91, 2,199.80 and 895.28

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Solution

The fourth proportional to 1,593.91, 2,199.80 and 895.28 is: 1,235.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.91 : 2,199.80 = 895.28 : x
  2. Step 2: Convert to fraction form
    1,593.91/2,199.80 = 895.28/x
  3. Step 3: Cross multiply
    1,593.91x = 2,199.80 × 895.28
  4. Step 4: Simplify right side
    1,593.91x = 1,969,437.46
  5. Step 5: Solve for x
    x = 1,969,437.46/1,593.91
  6. Step 6: Final answer
    x = 1,235.60

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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.