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Finding the Fourth Proportional to 1,460.73, 2,188.46 and 801.89

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Solution

The fourth proportional to 1,460.73, 2,188.46 and 801.89 is: 1,201.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.73 : 2,188.46 = 801.89 : x
  2. Step 2: Convert to fraction form
    1,460.73/2,188.46 = 801.89/x
  3. Step 3: Cross multiply
    1,460.73x = 2,188.46 × 801.89
  4. Step 4: Simplify right side
    1,460.73x = 1,754,904.19
  5. Step 5: Solve for x
    x = 1,754,904.19/1,460.73
  6. Step 6: Final answer
    x = 1,201.39

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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.