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Finding the Fourth Proportional to 1,461.31, 2,192.60 and 537.00

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Solution

The fourth proportional to 1,461.31, 2,192.60 and 537.00 is: 805.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.31 : 2,192.60 = 537.00 : x
  2. Step 2: Convert to fraction form
    1,461.31/2,192.60 = 537.00/x
  3. Step 3: Cross multiply
    1,461.31x = 2,192.60 × 537.00
  4. Step 4: Simplify right side
    1,461.31x = 1,177,419.32
  5. Step 5: Solve for x
    x = 1,177,419.32/1,461.31
  6. Step 6: Final answer
    x = 805.73

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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.