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Finding the Fourth Proportional to 1,411.76, 1,948.63 and 992.21

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Solution

The fourth proportional to 1,411.76, 1,948.63 and 992.21 is: 1,369.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411.76 : 1,948.63 = 992.21 : x
  2. Step 2: Convert to fraction form
    1,411.76/1,948.63 = 992.21/x
  3. Step 3: Cross multiply
    1,411.76x = 1,948.63 × 992.21
  4. Step 4: Simplify right side
    1,411.76x = 1,933,450.17
  5. Step 5: Solve for x
    x = 1,933,450.17/1,411.76
  6. Step 6: Final answer
    x = 1,369.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.