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Finding the Fourth Proportional to 1,597.56, 2,394.54 and 867.48

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Solution

The fourth proportional to 1,597.56, 2,394.54 and 867.48 is: 1,300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,597.56 : 2,394.54 = 867.48 : x
  2. Step 2: Convert to fraction form
    1,597.56/2,394.54 = 867.48/x
  3. Step 3: Cross multiply
    1,597.56x = 2,394.54 × 867.48
  4. Step 4: Simplify right side
    1,597.56x = 2,077,215.56
  5. Step 5: Solve for x
    x = 2,077,215.56/1,597.56
  6. Step 6: Final answer
    x = 1,300.24

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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.