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Finding the Fourth Proportional to 1,824.59, 2,736.92 and 592.00

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Solution

The fourth proportional to 1,824.59, 2,736.92 and 592.00 is: 888.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,824.59 : 2,736.92 = 592.00 : x
  2. Step 2: Convert to fraction form
    1,824.59/2,736.92 = 592.00/x
  3. Step 3: Cross multiply
    1,824.59x = 2,736.92 × 592.00
  4. Step 4: Simplify right side
    1,824.59x = 1,620,242.96
  5. Step 5: Solve for x
    x = 1,620,242.96/1,824.59
  6. Step 6: Final answer
    x = 888.00

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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.