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Finding the Fourth Proportional to 1,420.51, 2,128.92 and 726.60

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Solution

The fourth proportional to 1,420.51, 2,128.92 and 726.60 is: 1,088.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,420.51 : 2,128.92 = 726.60 : x
  2. Step 2: Convert to fraction form
    1,420.51/2,128.92 = 726.60/x
  3. Step 3: Cross multiply
    1,420.51x = 2,128.92 × 726.60
  4. Step 4: Simplify right side
    1,420.51x = 1,546,873.27
  5. Step 5: Solve for x
    x = 1,546,873.27/1,420.51
  6. Step 6: Final answer
    x = 1,088.96

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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.