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Finding the Fourth Proportional to 1,380.66, 1,904.64 and 961.98

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Solution

The fourth proportional to 1,380.66, 1,904.64 and 961.98 is: 1,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.66 : 1,904.64 = 961.98 : x
  2. Step 2: Convert to fraction form
    1,380.66/1,904.64 = 961.98/x
  3. Step 3: Cross multiply
    1,380.66x = 1,904.64 × 961.98
  4. Step 4: Simplify right side
    1,380.66x = 1,832,225.59
  5. Step 5: Solve for x
    x = 1,832,225.59/1,380.66
  6. Step 6: Final answer
    x = 1,327.07

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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.