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Finding the Fourth Proportional to 1,436.90, 2,156.61 and 821.84

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Solution

The fourth proportional to 1,436.90, 2,156.61 and 821.84 is: 1,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.90 : 2,156.61 = 821.84 : x
  2. Step 2: Convert to fraction form
    1,436.90/2,156.61 = 821.84/x
  3. Step 3: Cross multiply
    1,436.90x = 2,156.61 × 821.84
  4. Step 4: Simplify right side
    1,436.90x = 1,772,388.36
  5. Step 5: Solve for x
    x = 1,772,388.36/1,436.90
  6. Step 6: Final answer
    x = 1,233.48

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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.