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Finding the Fourth Proportional to 1,593.86, 2,199.76 and 964.46

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Solution

The fourth proportional to 1,593.86, 2,199.76 and 964.46 is: 1,331.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.86 : 2,199.76 = 964.46 : x
  2. Step 2: Convert to fraction form
    1,593.86/2,199.76 = 964.46/x
  3. Step 3: Cross multiply
    1,593.86x = 2,199.76 × 964.46
  4. Step 4: Simplify right side
    1,593.86x = 2,121,580.53
  5. Step 5: Solve for x
    x = 2,121,580.53/1,593.86
  6. Step 6: Final answer
    x = 1,331.10

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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.