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Finding the Fourth Proportional to 2,109.28, 2,906.06 and 1,470.62

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Solution

The fourth proportional to 2,109.28, 2,906.06 and 1,470.62 is: 2,026.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,109.28 : 2,906.06 = 1,470.62 : x
  2. Step 2: Convert to fraction form
    2,109.28/2,906.06 = 1,470.62/x
  3. Step 3: Cross multiply
    2,109.28x = 2,906.06 × 1,470.62
  4. Step 4: Simplify right side
    2,109.28x = 4,273,688.07
  5. Step 5: Solve for x
    x = 4,273,688.07/2,109.28
  6. Step 6: Final answer
    x = 2,026.14

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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.