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Finding the Fourth Proportional to 1,551.26, 2,141.40 and 992.48

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Solution

The fourth proportional to 1,551.26, 2,141.40 and 992.48 is: 1,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.26 : 2,141.40 = 992.48 : x
  2. Step 2: Convert to fraction form
    1,551.26/2,141.40 = 992.48/x
  3. Step 3: Cross multiply
    1,551.26x = 2,141.40 × 992.48
  4. Step 4: Simplify right side
    1,551.26x = 2,125,296.67
  5. Step 5: Solve for x
    x = 2,125,296.67/1,551.26
  6. Step 6: Final answer
    x = 1,370.05

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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.