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Finding the Fourth Proportional to 1,571.31, 2,168.91 and 1,073.77

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Solution

The fourth proportional to 1,571.31, 2,168.91 and 1,073.77 is: 1,482.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,571.31 : 2,168.91 = 1,073.77 : x
  2. Step 2: Convert to fraction form
    1,571.31/2,168.91 = 1,073.77/x
  3. Step 3: Cross multiply
    1,571.31x = 2,168.91 × 1,073.77
  4. Step 4: Simplify right side
    1,571.31x = 2,328,894.28
  5. Step 5: Solve for x
    x = 2,328,894.28/1,571.31
  6. Step 6: Final answer
    x = 1,482.14

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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.