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Finding the Fourth Proportional to 1,593.58, 2,391.99 and 1,071.94

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Solution

The fourth proportional to 1,593.58, 2,391.99 and 1,071.94 is: 1,609.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.58 : 2,391.99 = 1,071.94 : x
  2. Step 2: Convert to fraction form
    1,593.58/2,391.99 = 1,071.94/x
  3. Step 3: Cross multiply
    1,593.58x = 2,391.99 × 1,071.94
  4. Step 4: Simplify right side
    1,593.58x = 2,564,069.76
  5. Step 5: Solve for x
    x = 2,564,069.76/1,593.58
  6. Step 6: Final answer
    x = 1,609.00

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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.