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Finding the Fourth Proportional to 1,392.82, 2,088.15 and 815.02

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Solution

The fourth proportional to 1,392.82, 2,088.15 and 815.02 is: 1,221.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.82 : 2,088.15 = 815.02 : x
  2. Step 2: Convert to fraction form
    1,392.82/2,088.15 = 815.02/x
  3. Step 3: Cross multiply
    1,392.82x = 2,088.15 × 815.02
  4. Step 4: Simplify right side
    1,392.82x = 1,701,884.01
  5. Step 5: Solve for x
    x = 1,701,884.01/1,392.82
  6. Step 6: Final answer
    x = 1,221.90

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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.