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Finding the Fourth Proportional to 2,109.01, 3,160.94 and 1,492.89

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Solution

The fourth proportional to 2,109.01, 3,160.94 and 1,492.89 is: 2,237.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.01 : 3,160.94 = 1,492.89 : x
  2. Step 2: Convert to fraction form
    2,109.01/3,160.94 = 1,492.89/x
  3. Step 3: Cross multiply
    2,109.01x = 3,160.94 × 1,492.89
  4. Step 4: Simplify right side
    2,109.01x = 4,718,935.72
  5. Step 5: Solve for x
    x = 4,718,935.72/2,109.01
  6. Step 6: Final answer
    x = 2,237.51

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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.