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Finding the Fourth Proportional to 1,593.84, 2,199.66 and 964.35

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Solution

The fourth proportional to 1,593.84, 2,199.66 and 964.35 is: 1,330.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.84 : 2,199.66 = 964.35 : x
  2. Step 2: Convert to fraction form
    1,593.84/2,199.66 = 964.35/x
  3. Step 3: Cross multiply
    1,593.84x = 2,199.66 × 964.35
  4. Step 4: Simplify right side
    1,593.84x = 2,121,242.12
  5. Step 5: Solve for x
    x = 2,121,242.12/1,593.84
  6. Step 6: Final answer
    x = 1,330.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.