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Finding the Fourth Proportional to 1,822.18, 2,732.58 and 589.26

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Solution

The fourth proportional to 1,822.18, 2,732.58 and 589.26 is: 883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.18 : 2,732.58 = 589.26 : x
  2. Step 2: Convert to fraction form
    1,822.18/2,732.58 = 589.26/x
  3. Step 3: Cross multiply
    1,822.18x = 2,732.58 × 589.26
  4. Step 4: Simplify right side
    1,822.18x = 1,610,186.43
  5. Step 5: Solve for x
    x = 1,610,186.43/1,822.18
  6. Step 6: Final answer
    x = 883.66

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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.