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Finding the Fourth Proportional to 1,410.61, 2,116.52 and 761.21

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Solution

The fourth proportional to 1,410.61, 2,116.52 and 761.21 is: 1,142.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.61 : 2,116.52 = 761.21 : x
  2. Step 2: Convert to fraction form
    1,410.61/2,116.52 = 761.21/x
  3. Step 3: Cross multiply
    1,410.61x = 2,116.52 × 761.21
  4. Step 4: Simplify right side
    1,410.61x = 1,611,112.38
  5. Step 5: Solve for x
    x = 1,611,112.38/1,410.61
  6. Step 6: Final answer
    x = 1,142.14

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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.