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Finding the Fourth Proportional to 2,158.94, 3,242.73 and 2,088.01

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Solution

The fourth proportional to 2,158.94, 3,242.73 and 2,088.01 is: 3,136.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,158.94 : 3,242.73 = 2,088.01 : x
  2. Step 2: Convert to fraction form
    2,158.94/3,242.73 = 2,088.01/x
  3. Step 3: Cross multiply
    2,158.94x = 3,242.73 × 2,088.01
  4. Step 4: Simplify right side
    2,158.94x = 6,770,864.55
  5. Step 5: Solve for x
    x = 6,770,864.55/2,158.94
  6. Step 6: Final answer
    x = 3,136.20

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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.