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Finding the Fourth Proportional to 1,593.77, 2,199.86 and 964.30

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Solution

The fourth proportional to 1,593.77, 2,199.86 and 964.30 is: 1,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.77 : 2,199.86 = 964.30 : x
  2. Step 2: Convert to fraction form
    1,593.77/2,199.86 = 964.30/x
  3. Step 3: Cross multiply
    1,593.77x = 2,199.86 × 964.30
  4. Step 4: Simplify right side
    1,593.77x = 2,121,309.18
  5. Step 5: Solve for x
    x = 2,121,309.18/1,593.77
  6. Step 6: Final answer
    x = 1,331.00

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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.