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Finding the Fourth Proportional to 1,802.25, 2,701.46 and 935.37

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Solution

The fourth proportional to 1,802.25, 2,701.46 and 935.37 is: 1,402.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.25 : 2,701.46 = 935.37 : x
  2. Step 2: Convert to fraction form
    1,802.25/2,701.46 = 935.37/x
  3. Step 3: Cross multiply
    1,802.25x = 2,701.46 × 935.37
  4. Step 4: Simplify right side
    1,802.25x = 2,526,859.96
  5. Step 5: Solve for x
    x = 2,526,859.96/1,802.25
  6. Step 6: Final answer
    x = 1,402.06

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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.