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Finding the Fourth Proportional to 1,597.86, 2,204.28 and 968.00

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Solution

The fourth proportional to 1,597.86, 2,204.28 and 968.00 is: 1,335.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.86 : 2,204.28 = 968.00 : x
  2. Step 2: Convert to fraction form
    1,597.86/2,204.28 = 968.00/x
  3. Step 3: Cross multiply
    1,597.86x = 2,204.28 × 968.00
  4. Step 4: Simplify right side
    1,597.86x = 2,133,732.02
  5. Step 5: Solve for x
    x = 2,133,732.02/1,597.86
  6. Step 6: Final answer
    x = 1,335.37

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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.