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Finding the Fourth Proportional to 1,387.96, 1,904.81 and 1,256.68

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Solution

The fourth proportional to 1,387.96, 1,904.81 and 1,256.68 is: 1,724.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.96 : 1,904.81 = 1,256.68 : x
  2. Step 2: Convert to fraction form
    1,387.96/1,904.81 = 1,256.68/x
  3. Step 3: Cross multiply
    1,387.96x = 1,904.81 × 1,256.68
  4. Step 4: Simplify right side
    1,387.96x = 2,393,736.63
  5. Step 5: Solve for x
    x = 2,393,736.63/1,387.96
  6. Step 6: Final answer
    x = 1,724.64

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.