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Finding the Fourth Proportional to 1,141.04, 1,573.81 and 1,102.92

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Solution

The fourth proportional to 1,141.04, 1,573.81 and 1,102.92 is: 1,521.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.04 : 1,573.81 = 1,102.92 : x
  2. Step 2: Convert to fraction form
    1,141.04/1,573.81 = 1,102.92/x
  3. Step 3: Cross multiply
    1,141.04x = 1,573.81 × 1,102.92
  4. Step 4: Simplify right side
    1,141.04x = 1,735,786.53
  5. Step 5: Solve for x
    x = 1,735,786.53/1,141.04
  6. Step 6: Final answer
    x = 1,521.23

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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.