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Finding the Fourth Proportional to 1,495.73, 2,242.96 and 1,202.31

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Solution

The fourth proportional to 1,495.73, 2,242.96 and 1,202.31 is: 1,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.73 : 2,242.96 = 1,202.31 : x
  2. Step 2: Convert to fraction form
    1,495.73/2,242.96 = 1,202.31/x
  3. Step 3: Cross multiply
    1,495.73x = 2,242.96 × 1,202.31
  4. Step 4: Simplify right side
    1,495.73x = 2,696,730.23
  5. Step 5: Solve for x
    x = 2,696,730.23/1,495.73
  6. Step 6: Final answer
    x = 1,802.95

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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.