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Finding the Fourth Proportional to 1,455.07, 2,181.16 and 761.31

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Solution

The fourth proportional to 1,455.07, 2,181.16 and 761.31 is: 1,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,455.07 : 2,181.16 = 761.31 : x
  2. Step 2: Convert to fraction form
    1,455.07/2,181.16 = 761.31/x
  3. Step 3: Cross multiply
    1,455.07x = 2,181.16 × 761.31
  4. Step 4: Simplify right side
    1,455.07x = 1,660,538.92
  5. Step 5: Solve for x
    x = 1,660,538.92/1,455.07
  6. Step 6: Final answer
    x = 1,141.21

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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.