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Finding the Fourth Proportional to 1,436.62, 2,156.14 and 571.54

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Solution

The fourth proportional to 1,436.62, 2,156.14 and 571.54 is: 857.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.62 : 2,156.14 = 571.54 : x
  2. Step 2: Convert to fraction form
    1,436.62/2,156.14 = 571.54/x
  3. Step 3: Cross multiply
    1,436.62x = 2,156.14 × 571.54
  4. Step 4: Simplify right side
    1,436.62x = 1,232,320.26
  5. Step 5: Solve for x
    x = 1,232,320.26/1,436.62
  6. Step 6: Final answer
    x = 857.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.