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Finding the Fourth Proportional to 1,261.93, 1,742.31 and 1,128.74

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Solution

The fourth proportional to 1,261.93, 1,742.31 and 1,128.74 is: 1,558.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,261.93 : 1,742.31 = 1,128.74 : x
  2. Step 2: Convert to fraction form
    1,261.93/1,742.31 = 1,128.74/x
  3. Step 3: Cross multiply
    1,261.93x = 1,742.31 × 1,128.74
  4. Step 4: Simplify right side
    1,261.93x = 1,966,606.28
  5. Step 5: Solve for x
    x = 1,966,606.28/1,261.93
  6. Step 6: Final answer
    x = 1,558.41

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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.