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Finding the Fourth Proportional to 1,627.92, 2,244.74 and 1,470.51

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Solution

The fourth proportional to 1,627.92, 2,244.74 and 1,470.51 is: 2,027.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,627.92 : 2,244.74 = 1,470.51 : x
  2. Step 2: Convert to fraction form
    1,627.92/2,244.74 = 1,470.51/x
  3. Step 3: Cross multiply
    1,627.92x = 2,244.74 × 1,470.51
  4. Step 4: Simplify right side
    1,627.92x = 3,300,905.26
  5. Step 5: Solve for x
    x = 3,300,905.26/1,627.92
  6. Step 6: Final answer
    x = 2,027.68

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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.