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Finding the Fourth Proportional to 1,436.68, 1,982.10 and 815.32

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Solution

The fourth proportional to 1,436.68, 1,982.10 and 815.32 is: 1,124.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436.68 : 1,982.10 = 815.32 : x
  2. Step 2: Convert to fraction form
    1,436.68/1,982.10 = 815.32/x
  3. Step 3: Cross multiply
    1,436.68x = 1,982.10 × 815.32
  4. Step 4: Simplify right side
    1,436.68x = 1,616,045.77
  5. Step 5: Solve for x
    x = 1,616,045.77/1,436.68
  6. Step 6: Final answer
    x = 1,124.85

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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.