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Finding the Fourth Proportional to 2,164.56, 2,987.16 and 1,233

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Solution

The fourth proportional to 2,164.56, 2,987.16 and 1,233 is: 1,701.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164.56 : 2,987.16 = 1,233 : x
  2. Step 2: Convert to fraction form
    2,164.56/2,987.16 = 1,233/x
  3. Step 3: Cross multiply
    2,164.56x = 2,987.16 × 1,233
  4. Step 4: Simplify right side
    2,164.56x = 3,683,168.28
  5. Step 5: Solve for x
    x = 3,683,168.28/2,164.56
  6. Step 6: Final answer
    x = 1,701.58

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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.