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Finding the Fourth Proportional to 1,774.58, 2,662.29 and 541.91

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Solution

The fourth proportional to 1,774.58, 2,662.29 and 541.91 is: 812.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,774.58 : 2,662.29 = 541.91 : x
  2. Step 2: Convert to fraction form
    1,774.58/2,662.29 = 541.91/x
  3. Step 3: Cross multiply
    1,774.58x = 2,662.29 × 541.91
  4. Step 4: Simplify right side
    1,774.58x = 1,442,721.57
  5. Step 5: Solve for x
    x = 1,442,721.57/1,774.58
  6. Step 6: Final answer
    x = 812.99

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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.