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Finding the Fourth Proportional to 1,156.36, 1,723.41 and 1,154.56

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Solution

The fourth proportional to 1,156.36, 1,723.41 and 1,154.56 is: 1,720.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.36 : 1,723.41 = 1,154.56 : x
  2. Step 2: Convert to fraction form
    1,156.36/1,723.41 = 1,154.56/x
  3. Step 3: Cross multiply
    1,156.36x = 1,723.41 × 1,154.56
  4. Step 4: Simplify right side
    1,156.36x = 1,989,780.25
  5. Step 5: Solve for x
    x = 1,989,780.25/1,156.36
  6. Step 6: Final answer
    x = 1,720.73

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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.