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Finding the Fourth Proportional to 2,727.53, 4,092.94 and 972.40

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Solution

The fourth proportional to 2,727.53, 4,092.94 and 972.40 is: 1,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.53 : 4,092.94 = 972.40 : x
  2. Step 2: Convert to fraction form
    2,727.53/4,092.94 = 972.40/x
  3. Step 3: Cross multiply
    2,727.53x = 4,092.94 × 972.40
  4. Step 4: Simplify right side
    2,727.53x = 3,979,973.51
  5. Step 5: Solve for x
    x = 3,979,973.51/2,727.53
  6. Step 6: Final answer
    x = 1,459.19

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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.