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Finding the Fourth Proportional to 2,102.94, 2,902.06 and 1,158.71

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Solution

The fourth proportional to 2,102.94, 2,902.06 and 1,158.71 is: 1,599.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,102.94 : 2,902.06 = 1,158.71 : x
  2. Step 2: Convert to fraction form
    2,102.94/2,902.06 = 1,158.71/x
  3. Step 3: Cross multiply
    2,102.94x = 2,902.06 × 1,158.71
  4. Step 4: Simplify right side
    2,102.94x = 3,362,632.88
  5. Step 5: Solve for x
    x = 3,362,632.88/2,102.94
  6. Step 6: Final answer
    x = 1,599.02

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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.