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Finding the Fourth Proportional to 1,593.60, 2,393.28 and 824.64

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Solution

The fourth proportional to 1,593.60, 2,393.28 and 824.64 is: 1,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,593.60 : 2,393.28 = 824.64 : x
  2. Step 2: Convert to fraction form
    1,593.60/2,393.28 = 824.64/x
  3. Step 3: Cross multiply
    1,593.60x = 2,393.28 × 824.64
  4. Step 4: Simplify right side
    1,593.60x = 1,973,594.42
  5. Step 5: Solve for x
    x = 1,973,594.42/1,593.60
  6. Step 6: Final answer
    x = 1,238.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.