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Finding the Fourth Proportional to 1,881.36, 2,597.42 and 1,260.72

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Solution

The fourth proportional to 1,881.36, 2,597.42 and 1,260.72 is: 1,740.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,881.36 : 2,597.42 = 1,260.72 : x
  2. Step 2: Convert to fraction form
    1,881.36/2,597.42 = 1,260.72/x
  3. Step 3: Cross multiply
    1,881.36x = 2,597.42 × 1,260.72
  4. Step 4: Simplify right side
    1,881.36x = 3,274,619.34
  5. Step 5: Solve for x
    x = 3,274,619.34/1,881.36
  6. Step 6: Final answer
    x = 1,740.56

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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.