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Finding the Fourth Proportional to 1,391.96, 1,919.08 and 1,156.12

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Solution

The fourth proportional to 1,391.96, 1,919.08 and 1,156.12 is: 1,593.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391.96 : 1,919.08 = 1,156.12 : x
  2. Step 2: Convert to fraction form
    1,391.96/1,919.08 = 1,156.12/x
  3. Step 3: Cross multiply
    1,391.96x = 1,919.08 × 1,156.12
  4. Step 4: Simplify right side
    1,391.96x = 2,218,686.77
  5. Step 5: Solve for x
    x = 2,218,686.77/1,391.96
  6. Step 6: Final answer
    x = 1,593.93

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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.