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Finding the Fourth Proportional to 1,156.02, 1,722.41 and 1,081.50

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Solution

The fourth proportional to 1,156.02, 1,722.41 and 1,081.50 is: 1,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.02 : 1,722.41 = 1,081.50 : x
  2. Step 2: Convert to fraction form
    1,156.02/1,722.41 = 1,081.50/x
  3. Step 3: Cross multiply
    1,156.02x = 1,722.41 × 1,081.50
  4. Step 4: Simplify right side
    1,156.02x = 1,862,781.01
  5. Step 5: Solve for x
    x = 1,862,781.01/1,156.02
  6. Step 6: Final answer
    x = 1,611.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.