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Finding the Fourth Proportional to 1,821.07, 2,731.85 and 588.18

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Solution

The fourth proportional to 1,821.07, 2,731.85 and 588.18 is: 882.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,821.07 : 2,731.85 = 588.18 : x
  2. Step 2: Convert to fraction form
    1,821.07/2,731.85 = 588.18/x
  3. Step 3: Cross multiply
    1,821.07x = 2,731.85 × 588.18
  4. Step 4: Simplify right side
    1,821.07x = 1,606,823.92
  5. Step 5: Solve for x
    x = 1,606,823.92/1,821.07
  6. Step 6: Final answer
    x = 882.35

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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.